Why we often leave radicals as roots without calculating them?

Answers

Answer 1

Answer:

Sometimes it's better to leave them as roots because it's easier sometimes to solve problems with them still as roots

Answer 2

Answer:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

Step-by-step explanation:

Why do we do Radicals in the first place?

Radicals are used to write the square root or the nth root of a number. We sometimes leave specific numbers (non-perfect squares) as a radical because the output would be infinity

Example:

[tex]\sqrt45[/tex] is not a perfect square, it lies between [tex]\sqrt36[/tex]  and [tex]\sqrt49[/tex]

This means the number lies in between 6 and 7

The true root of 45 is irrational. Recall that irrational numbers are numbers of non-perfect squares. [tex]\sqrt45[/tex] = 6.7082039.......

Simplify:

[tex]\sqrt 45 = \sqrt 9 * \sqrt 5\\[/tex]

[tex]= \sqrt3^2 * \sqrt 5\\\\ \\= 3\sqrt5[/tex]

We choose not to pursue simplifying this because  [tex]\sqrt5[/tex]  is irrational (square root of a non-perfect square)

Summary:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

-Chetan K


Related Questions

Solve for x:
Spam: WHSIYWsugwediywedw

Answers

Answer:

um whats m or y?

Step-by-step explanation:

Answer:

[tex]x=3m+y[/tex]

Step-by-step explanation:

Let's solve for [tex]x[/tex].

[tex]m=\frac{x-y}{3}[/tex]

Step 1: Flip the equation.

[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]

Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.

[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]

[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]

Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].

[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]

[tex]x=3m+y[/tex]

Answer:

[tex]x=3m+y[/tex]

Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?

Answers

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30

Easyyyy 30 kilometers

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

Read more about cubic functions at:

https://brainly.com/question/20896994

On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?

Answers

Answer:

5280 , 8720

Step-by-step explanation:

suppose the one is x, another is y

x+y=14000

y(6%)-x(4%)=312

x=5280

y=8720

net annual receipt means the income so you have to substract the lost from the gains

Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?

Answers

18 milkshakes
Hope this helps

0.7619047619 as a fraction?
which one
1. 1/16
2. 16/21
3. 2
4. 4

Answers

Answer:

16/21

Step-by-step explanation:

Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 11 options: A) 6 B) 1∕2 C) 8 D) 10

Answers

The answer is option D, 10. By using the distance formula this is what you should get.

Check the picture below.

find the lengths of lien segments AC & CB

Answers

Answer:

AB = 28cm

point C partitions AB into a ratio 1:3

they say to find the lengths of AC and CB

Usually in maths questions like this look at the order of things placed. Meaning…

ratio — 1:3

find — AC and CB

1 — AC

3 — CB

so now we know

1:3

AC:CB

1+3 = 4

28/4 = 7

7*1 = 7 = AC

7*3 = 21 = CB

Which (I believe) is the second option

Help help help
Help hep help

Answers

Answer:

-2

Step-by-step explanation:

-4x-2x ≤ 17-5

-6x ≤ 12 | /(-6)

x ≥ -2

Last year 85 students in 7th grade This school year only 68 What is the percent decrease?

Answers

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0​

Answers

Answer:

a = 3, b = -1, c = -1

Step-by-step explanation:

3x² - x - 1 = 0  ⇒  3x² - 1x - 1 = 0

a = 3, b = -1, c = -1

plssssssssssss answer for brainiest

Answers

Answer:

E = 120

F = 60

G = 120

H = 60

Step-by-step explanation:


STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

rebecca has 12 photos she wants to hang side by side on her wall.

A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?


B. in how many ways can she arrange all 12 photos?


C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?​

Answers

We want to find different ways of selecting and ordering elements. The answers are:

A) C = 395

B) combinations = 479,001,600

C) combinations = 239,500,800

First, we know that Rebecca has 12 photos.

A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.

Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

Here we have N = 12 and K = 8, then:

[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]

So there are 495 different ways of choosing 8 photos out of the 12.

B) Now we want to see in how many ways she can arrange all 12 photos.

The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.

The total number of combinations is just the product between the numbers of options, we got:

[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]

C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.

[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]

And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:

[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]

If you want to learn more, you can read:

https://brainly.com/question/14305145

Round 2,913 to the nearest ten

Answers

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Are the two triangles congruent?

Choose 1 answer:


(Choice A)

A-Yes

B-No

C-There is not enough information to say.

Answers

They are not congruent

A 16" × 16" square tray can hold at most 9 bagels placed side by side, as shown below. At most how many bagels can a 32" × 32" square tray hold if bagels are placed side by side?\

Answers

Answer:

At most it can hold 18 bagels

Step-by-step explanation:

So we can make this an equation

16 · 16 square tray = 9 bagels on top of it

We just doubled both sides of it

giving us 32 · 32 square tray = 18 bagels can be held.

1.What is the formula for the volume of a cylinder
2.Sarah is running in a 42 miles marathon.How far is.it in ft?​

Answers

Step-by-step explanation:

Volume of cylinder = πr²h

42mi = 221760 ft .

What four digit number an i? The sum of my digits is 4. The product of my digits is 1

Answers

Answer:

4, 2, 1, 1

Step-by-step explanation:

6+13+20...+(7n-1) Find the sum.

Answers

Answer:

2.5n+3.5n^2

Step-by-step explanation:

(6+7n-1)*n/2=2.5n+3.5n^2

Given 4(3x-8)=52 prove x=7

Answers

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

this question got asked three times =)

Answer:

52 is the answer

Step-by-step explanation:

You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.

3(7)=21

Subtract the numbers in the paratheses once you have found the number with the variable.

21 - 8 = 13

Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.

4 * 13 = 54 or 13 * 4 = 54

I hope this helps u! :D

I need help with number 9 please

Answers

Answer:

29.85

Step-by-step explanation:

1 month = 9.95

2 months = 19.9

3 months= 29.85

It shows the progression through three months and how much it was starting off from one month.

Answer: $29.85

per day it charges $9.95

she has the subscription for three months

we will then multiply the amount charged per month

$9.95 x 3 = $29.85

I hope this helps! :)

Brainiest fastest answer no link or bot or I report you I report you if you report me

Answers

38.793053.63904.782544.69226.19402.121072.331526.8128.73113.13801.33268.082094.475.494.2537.71884.962065.2419861.71385.44287.984.193619.11113.150.27

I did this really quick so I hope all the answers are right, and double check them if you have time just in case

hiii i don’t understand help

Answers

Answer:

1/3³

Step-by-step explanation:

[tex] {3}^{2} \times {3}^{ - 5} \\ = {3}^{[2 + ( - 5)]} \\ = {3}^{ - 3} \\ = \frac{1}{ {3}^{3} } [/tex]

Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2

Answers

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:


Which distance formula or formulas show(s) a joint variation?

Answers

Answer:

II and III only

Step-by-step explanation:

One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.

represent each solution on a number line 3​

Answers

I don't know how to represent it on a nomberline

I

The graph of g(x) = x + 2 is a translation of the graph of the parent function 2 units [ A. right , B. left , C. up , D. down ].
The graph of g(x) = 3(–x) is the graph of the parent function stretched vertically and reflected across the [ A. x-axis, B. y-axis ].
The graph of g(x) = (5x) is a [ A. vertical stretch, B. vertical compression, C. horizontal stretch ,D. horizontal compression ] of the graph of the parent function.

Answers

Answer:

Step-by-step explanation:

1. C

2. B

3. D

Find all missing angles.

M21 =

m22

m23

57-

72•

4

m24

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

4. 8 is what percent of 18?

Answers

Answer:

the answer is 26.6666667 and when rounded off is 26.7

Other Questions
Can someone help with question #4 please Who belonged in the alliance of three rulers also known as the Triumvirate from Ancient Rome? O Hannibal O Carthaginians Julius Ceasar Plebeians How can those in agriculture continue to use necessary tools, like fertilizers and pesticides, while reducing the environmental impact? Not sure how to do this. convertd) 14 yd to ft e) 5.4 cm to mm Please help me please When the man asked me how I had got _____ address, I told him that I was given it by a relative of _____.my / mehis / hismine / hishis / him A positively charged electric has a charge of 2 Coulombs. If 12.5x10^18 free electrons are added to it, what will be the net charge on the said dielectric? What happens at Coles Hill in Plymouth, Massachusetts every Thanksgiving? Name the congruent triangles. Please help me with this. Why was the adoption of Islam in Africa a slow process? which act is violated if an employer refuses to provide health insurance to pregnant females due to the increased cost associated with their pregnancy? According to the evolutionary psychology notion of kin selection, Bob is most likely to help his __________. cousin Herbert step-sister Sally brother Ralph best friend Randall What is the full form of TBS? -,- ple help me quick thank you:) encuentre el sistema de desigualdades que describe la region sombreada why would one gene work as a barcode for one species and not for another Where do the Mountain Aquifer and Coastal Aquifer occur? Coronary heart disease is the main cause of death in our country. The following factors can increase the risk of an individual contracting this disease:-smoking -unbalanced diet-unhealthy lifestyle Explain how these factors can contribute to coronary heart disease.