which is equivalent to √3/√8 when denominator is "rationalized"?

Answers

Answer 1

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

Used:

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]


Related Questions

Combine the like terms to create an equivalent expression.
5r + 15 - 2r - 5

Answers

3r + 10 is the answer

Explain when it is appropriate to use a benchmark percent in solving a problem.

Answers

Answer:

The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.

These benchmark values are sometimes used when estimating a solution involving percentages.

Real-World Example

If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.

10% of 36, done mentally, is 3.6.

Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answers

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

how do I find the value of x in a isosceles and equilateral triangle​

Answers

Depends on where the x is. If in the equilateral triangle, x is the only angle missing then you do whatever two numbers they gave + x = 180 then solve.

If it’s in an isosceles and it’s the same situation, you do x = the side with the same amount of degrees (you will know because there will be a line on the “x” and given side

You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you have enough money
in the account to purchase the car? Round your answer to the nearest whole number

Answers

Answer:

After 7.5 years we will have enough money in the account to purchase the car.      

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

                         = 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

Write an equation of the line below.
(0,1) and (8,-1)

Answers

Answer:

Step-by-step explanation:

(-1-1)/(8-0)= -2/8= -1/4

y + 1 = -1/4(x - 8)

y + 1 = -1/4x + 2

y = -1/4x + 1

can someone please help me out with this.​

Answers

this is not a function

Help pls I am in 4th and my sister is at school help

Answers

Answer:

0.125

Step-by-step explanation:

Answer

0.125

                                           

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25 POINTS and Brainliest

Answers

Answer:$293.83

Step-by-step explanation:

Answer:

293.83$

Step-by-step explanation:

total withdrawals = 6*15.72=94.32$

the rest amount before depostit is 153-94.32=58.68$

the rest amount After depostit is 58.68+235.15=293.83$

find the HCF and LCM of 110 and 220 by prime factorisation what do you observe.​

Answers

Answer:

They are both the same numbers- its 110 and 220.

Step-by-step explanation:

GCF=   2 x 5 x 11 = 110

LCM=   2 x 2 x 5 x 11 = 220

Can you help me with this i have other questions to if u can't solve this one

Answers

Answer:

I think its -12 and increasing, but i may be wrong. Sry

Step-by-step explanation:

A student has some $5 bills and $10 bills in her wallet for a total of $100. The amount of $10 bills she has is 3 more than 3 times the amount of $5 bills. How many of each type of bills does she have?

Answers

Answer:

she has 6 $5 bills and 4 $10 bills I think I'm not sure

Convert 0.5% to a decimal. 0.005 0.05 5.0 0.5. 35% of 70 is _____. 50 245 24.5. 90 is 50% of what number? 180 120 45. What is the total cost of a pair of jeans that are priced $50.00 if there is 7% sales tax? $57.50 $53.75 $55.50

Answers

Answer:

ayo keen

Step-by-step explanation:

u there?

The perimeter of this shape is 30 feet. What is the length of the missing side?

Answers

Answer:

The answer is 4ft.

Step-by-step explanation:

If you add:

7ft + 3ft + 5ft + 11ft = 26ft

Then if you take away the whole perimeter of the shape by the sides added so far:

30ft - 26ft

It would equal:

30ft - 26ft = 4ft

4ft is the answer.

The value of the length of the missing side is 4 ft and this can be determined by using the arithmetic operations.

Given :

The perimeter of this shape is 30 feet.

The following steps can be used in order to determine the length of the missing side:

Step 1 - The arithmetic operations can be used in order to determine the length of the missing side.

Step 2 - Let the length of the missing side be 'x'.

Step 3 - So, the perimeter of the given figure is given below:

[tex]30 = x+ 7 +3+5+11[/tex]

Step 4 - Simplify the above expression in order to determine the value of 'x'.

[tex]x=30-26\\x = 4[/tex]

So, the value of the length of the missing side is 4 ft.

For more information, refer to the link given below:

https://brainly.com/question/6465134

find the midpoint, multiple choice question

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Ive done a lot of these problems before, hope this helps

plz help me solve this​

Answers

Answer:

1338.68 meters

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together.

50.9m + 50.9m + 618.44m + 618.44m = 1338.68m

1338.68
i think im not that good at this subject but hope you get it correct and pass, all positive energies to you!!

8/962365//*(789630)*****789456123=?
solve its for a test !

Answers

The answer for that is probably 7(%7/£122-;298;+92

Answer:

7(%7/£122-;298;+92

Step:-by-st7(%7/£122-;298;+92ep explanation

Rewrite the following in the form log(c).
log(8) – log(2)

Answers

Answer:

log(c). log(8) - log(2)

Step-by-step explanation:

Need help ASAP !!!!!!!!

Answers

Answer:

b 1 1/7

Step-by-step explanation:

pretty sure its B 1 1/7

Answer is B
1 1/7 hope it helps

Could some one solve this for me? I’m to dumb

Answers

Answer:

we haul y=.045x+20

you haul y=1x

Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.​

Answers

Answer:

The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.

[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]

A bag contains 4 orange marbles, 2 yellow marbles, and 9 red marbles. Which of the following best describes the probability of choosing a red marble from the bag?


Likely

As likely as not

Unlikely

Impossible

Answers

Answer:

very likely

Step-by-step explanation:

Most of the marbles in the bag are red so that's why it's likely.

Answer: The answer would be likely

Step-by-step explanation:

SOMEONE pLZ HELP ME SOLVE THIS IM GETTING so MADDD

Answers

Answer:

Vertex Form: y= 2(x−1)^2−7

Step-by-step explanation:

I believe this is correct

For EF in triangle EFG, what is the corresponding segment in similar triangle HFG?

Answers

Answer:

HF

Step-by-step explanation:

Answer: Side HF.

Step-by-step explanation: The corresponding segment to EF in similar triangle HFG is HF, you can confirm it by folding the triangle.

Helllp ASAP!!! I will give you a brainlist

Write the equation that describes the line with slope = 2 and y-intercept = in slope-intercept form.
O x = 2y +3/2
O y = 3\2+2
O y = 2x +3/2
O 2x + y =3/2

Answers

Answer:

y=2x+3/2

Step-by-step explanation:

2x is the slope and 3/2 is the y intercept

Answer:

y=2x+3/2

Step-by-step explanation:

because i said so.

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.

P(purple) =

Answers

Answer:

.15 or 15%

Step-by-step explanation:

5+8+4+3=20

3 purple marbles/20 total marbles= .15

1/7 (63n-77)=11+9n please answer

Answers

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Complete the Square
x– 6x + 2 = 0
PLEASE ANSWER

Answers

Answer:

somebody will answer for you!

Step-by-step explanation:

8x+2 factored useing the gcf.

Answers

Answer:2 ( 4 + 1 )

Step-by-step explanation:

5/8x24 how can I show my work solving dat

Answers

Answer:

Check the image below

Step-by-step explanation:

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