Express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.

Answers

Answer 1

By simplifying the given expression we will get that:

18*√8 = 36*√2

How to find an equivalent expression?

Here we start with:

18*√8

We can rewrite 18 as:

18 = √324

Replacing that in our expression we get:

√324*√8 = √(324*8) = √(2,592)

Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).

If we divide 2,592 by 2, we get:

2592/2 = 1296

Then we can rewrite:

√2592 = √(2*1296) = √2*√1296 = √2*36

So this is the expression we wanted:

18*√8 = 36*√2

If you want to learn more about square roots, you can read:

https://brainly.com/question/8952483

Answer 2

Answer:

[tex]36\sqrt{2}[/tex]

Step-by-step explanation:

The largest square factor under the radical is 4. This gives us the factorization [tex]\sqrt{8} =\sqrt{4} * \sqrt{2}[/tex].

Thus,

[tex]18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})[/tex]

        [tex]= 18*2\sqrt{2}[/tex]

        [tex]= 36\sqrt{2}[/tex]

Hope this helps!


Related Questions

HELP MARKING BRAINLEIST

Answers

Answer:

23y -8

Explanation:

perimeter: length measure of all sides

perimeter of this shape:

2y - 9 + 6y +10 +5y - 7 + 10y -2

group terms ↓

2y + 6y + 5y+  10y -9 + 10 -7 -2

add basic numbers ↓

2y + 6y +5y +10y -8

final answer ↓

23y -8

Answer: 23y - 8

Explanation: The formula to find the perimeter of a quadrilateral which is a 4 sided figure is P = a + b + c + d.
So you input the side lengths of the quad into the letters.
6y + 10 + 5y - 7 + 2y - 9 + 10y - 2
You add all the constants and the like terms. So 6y + 5y + 2y + 10y - 2 is 23y + 10 - 7 - 11.
-7 - 11 is -18,
23y + 10 - 18
And finally 23y - 18.

What is the value of the expression 7m - 9 when m=4

Answers

Answer:

24

Step-by-step explanation:

7m - 4

7(4) - 4

28 - 4

24

Therefore, the value of the expression 7m-4 when m=4 is 24

A daycare center has 4 infants and 11 toddlers. What fraction of the children are infants?

Answers

Answer:

4/15 of the children are infants

Step-by-step explanation:

Hope it helps!

I need help what is y?

Answers

Answer:

[tex]y=-5.6[/tex]

Step-by-step explanation:

[tex]2.5\left(y + \dfrac{2}{5} \right) =-13\\\\\textsf{divide both sides by 2.5} : y+ \dfrac{2}{5}=-5.2\\\\\textsf{subtract} \ \dfrac{2}{5} \ \textsf{from both sides} : y=-5.6[/tex]

help help help help helpe​

Answers

Answer:

H = 58, I = 71, J = 51

Step-by-step explanation:

Set all angles equal to 180

3x - 2 + 4x - 9 + 3x - 9 = 180

Then combine like terms

10x - 20 = 180

      + 20  + 20

10x = 200

/10     /10

x = 20

Then plug in for each angle

3 (20) - 2 = 58

4 (20) - 9 = 71

3 (20) - 9 = 51

Divide and check the answer with formula 252 ÷2​

Answers

Answer:
126

One two six

[tex] \hookrightarrow \sf \dfrac{252}{2} \\ \\ [/tex]

[tex] \hookrightarrow \sf126[/tex]

The price of an item has dropped to $50 today Yesterday it was $125 Find the percentage decrease.

Answers

Answer:

40% decrease.

Step-by-step explanation:

I only have like 5 more questions left guys I had to answer 38 and I don’t understand these so thanks for helping me!

Answers

Answer:

A

Step-by-step explanation:

A: y + 2 = 3(x-6)

B: y + 2 = -3(x-4)

C: y + 1 = 6(x-4)

D: y + 1 = -6(x+4)

Point slope formula: y₂ ± y₁ = m( x₂ ± x₁ )

m = 3

y + 2 = 3(x-6)

Lorna earns ₱ 214.50 per hour at her baby-sitting job. On Saturday she worked 8 hours. What were her total earnings for the day?

Answers

Answer:

The answer is 1716

Step-by-step explanation:

214.50x8=1716

The graph below models the value of a $20,000 car t years after it was purchased. Value of Car A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000). Which statement best describes why the value of the c

Answers

Answer:

Each time, t, is associated with exactly one car value, y.

Step-by-step explanation:

The concept being tested is functions.

The graph describe is a vertical parabola that opens downwards.

All vertical parabolas are functions because the pass the vertical line test.

In other words, each time, t, is associated with exactly one car value, y.

The correct answer is the second option.

List down 5 other objects that could represent a point, a line, a plane.​

Answers

5 objects that could represent a point, a line, a plane are:

A dot of a chalk on a blackboard: A dot is a point so it is an object that could represent a point.Railway tracks: They represent parallel lines and they are never ending. Lines do not end.Blackboard: A blackboard can be represented by a plane.A sharpened pencil: We see that a pencil which is sharpened is an example of a line because it represents the figure of a line.Laptop: A laptop is a plane.

Hope you could understand.

If you have any query, feel free to ask.

Planes, points and lines are the undefined terms of geometry.

A point is simply a dot, and it can be formed as follows:

A dot made by a chalkA dot made by the tip of a pen

A line extends indefinitely on both sides. So, we can represent a line by:

A straight roadThe legs of a table

A plane is simply a flat surface. It can be represented by

A blackboard

Hence, the 5 objects that can represent a point, a line and a plane are the objects listed above

Read more about point, line and plane at:​

https://brainly.com/question/13099718

Can I please have some help?

Answers

Answer:

D

Step-by-step explanation:

275 increased by 10% = 302.5

10 percent of 275= 27.5

hence, we add 275 plus 27.5 and get 302.5.

Austin graphed the linear function below using a table of values. Which of the following coordinates were included in the table of values? Select all that apply.

(0,5)

(5,-6)

(3,-2)

(2,2)

Answers

Answer: A B C

Step-by-step explanation:

One penny is one hundredth of a dollar. If I have 33 pennies, what fraction of a dollar do I have? Convert the fraction to a decimal

Answers

Answer:

0.33

Step-by-step explanation:

i found this answer from knowing common sense. 33 hundredths is 0.33. thus making 33 pennies; 0.33

Help with this math question, I am graphing them to see which one is correct, but please help so I can speedy out of this, please?

Answers

Answer:

Last one: 3x²

Step-by-step explanation:

Quadratics are functions with the power of 2 as the highest.

Option 1 is a Reciprocal function

Option 2 is a linear function

Option 3 is a exponential function

Option 4 is a quadratic function

help me please??????????????

Answers

Answer:

x = -3.5 or x = 1.7

Step-by-step explanation:

Start by factoring the left side.

We need to find two numbers that have a product of -210 (6 * -35) and a sum of 11...

-10*21=-210

-10+21=11

We can rewrite 11x as -10x+21x...

[tex]6x^2-10x+21x-35=0[/tex]

Then, factor the first and second half of the left side individually:

[tex]2x(3x-5)+7(3x-5)=0[/tex]

Since 2x and 7 are both being multiplied by 3x-5, we can combine them to get:

[tex](3x-5)(2x+7)=0[/tex]

Divide the equation by 3x-5:

2x+7=0

Subtract 7 from both sides

2x=-7

Divide both sides by 2

x=-7/2=-3.5

Now, we also have to consider another answer, in which we divide the equation by 2x+7 instead of 3x-5:

3x-5=0

Add 5 to both sides

3x=5

Divide both sides by 3

x=5/3≈1.7

6
Find the area of the semicircle.
Either enter an exact answer in terms of 7 or use 3.14 for 7 and enter your answer as a decimal.

Answers

Answer:

56.52 units²

explanation:

We should know circle's area: πr²Then the semi circle shall have half area, so formula: (1/2)πr²

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

Solution:

Note that:

Area of circle: πr²Circle/2 = SemicircleArea of semicircle = πr²/2Radius = 6 units

Finding the area of the semicircle:

πr²/2=> 3.14 x 6 x 6/2=> 3.14 x 6 x 3=> 56.52 units²

We can conclude that the area of the semicircle is 56.52 units².

Katie wants to include stickers in the gift bags for a party. Stickers come in packs of 25. She wants to give each of the 17 guests at least 10 stickers. How many packs of stickers will she need? Write an equation that describes this situation.

Answers

Answer:

170

Step-by-step explanation:

don't know if its right

i calculate it...hope it help a little

The equation that describes the given situation and the number of packs required are; 25x = (17 * 10) and x = 7 packs

How to write algebraic equations?

We are told that;

Each sticker comes in a pack of 25

Now, she wants to give each of the 17 guests at least 10 stickers.

Let the number of packs she will require be x. Thus, the expression to describe this situation is;

25x = (17 * 10)

x = (17 * 10)/25

x = 6.8 packs

Approximating to a whole number gives us 7 packs of stickers required.

Read more about Algebraic Equations at; https://brainly.com/question/4344214

Please answer as quickly as possible! (50 points)

Answers

Answer:

last one, x>-2.5

Step-by-step explanation:

What is the value of the expression 2/3 -5/6 over 3/4?

Answers

- 2/9

Step-by-step explanation:

(2/3 - 5/6)÷3/4

we'll first sort out the first part by equalizing denominators

(2/3 × 2/2) - 5/6 = 4/6 - 5/6 = -1/6

dividing by fraction is The Same as multiplying by it's inverse

= - 1/6 × 4/3 = - 4/ 18 = -2 × 2 = - 2/9

----------

2 × 9

y is inversibly prportional to x when y=7 x=9
work out the value when x=21​

Answers

Answer: a) Equation become xy=1 and the second part answer is b) y=1/21

Step-by-step explanation:

Simplify this expression: 2x³ × 3xy²​

Answers

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

does anyone know 8g–4g+10g ??

Answers

Answer:

14g

Step-by-step explanation:

Combine like terms

8g–4g+10g = (8-4+10)g = (4+10)g = 14g

Hi!

I can help you with joy!

Solve by Combining Like Terms:

[tex]\bold{8g-4g+10g}[/tex]

[tex]\bold{4g+10g}[/tex]

[tex]\bold{14g}~(\text{Answer})[/tex]

Hope it helps!

Enjoy your day!

Ask me if you have any doubts.

~Misty~

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

? X 3= 6

3 X 3= 9

?= 6/3

?= 2

please mark as Brainliest

Answer:

2

Step-by-step explanation:

6 multiply by 3 to give 18

9 multiply by question mark we represent the question mark with x

so 18 divided by 9 gives 2

How many solutions are there?

Answers

Answer:

There is only one solution, and that is x=−2 and y=7

Step-by-step explanation:

x^2 + 8x + 7 factor completely

Answers

Answer:

[tex]x^{2}[/tex]+8x+7

Step-by-step explanation:

you wanted it simplified or ..?

What is an equation of the line that passes through the points (-6, -3) and
(-8,-4)

Answers

Answer:

Equation is Y=x/2

Step-by-step explanation:

Find the gradient of the line : graduent= -4-(-3)÷ -8-(-6) which = to 1\2Sustitutes any of the values of y and x coordinates and your gradient in order to find the value of c: Y =mx + c : (-4)=1/2(-8) + c then C =OY=x/2

this work is due on monday lol im colse to being done

Answers

Answer:

1/2x

Step-by-step explanation:

It's exactly in between the steep slope and the flat line and the steep line's slope is x or 1x.

given the diagram below, what is COS(45º)?

Answers

Answer:

1 / [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x [tex]\sqrt{2}[/tex]. So that make the unknown sides 6 and 6[tex]\sqrt{2}[/tex]. When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6[tex]\sqrt{2}[/tex]) This gives you 6/6[tex]\sqrt{2}[/tex]. You can simplify the 6s to get 1 / [tex]\sqrt{2}[/tex]

Answer: Choice C

Explanation:

This is a 45-45-90 right triangle, aka isosceles right triangle.

The two legs are 6 units each, because the legs of isosceles triangles are the same length.

The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.

From here we can say:

[tex]\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\[/tex]

It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.

Side note: Rationalizing the denominator will have [tex]\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex]

PLZ I NEED HELP Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below. Which statements are correct? Select all that apply.​

Answers

Answer:

Step-by-step explanation:

455

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