Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48

Answers

Answer 1

Answer:

C. 8√3

Step-by-step explanation:

Please mark me as brainlest!

Thanks!

Answer 2

48√2 in the simplest form of the expression √192.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the √192 by factoring it into its prime factors:

192 = 2 × 2 × 2 × 2 × 2 × 3 × 3

Then, we can group the prime factors into pairs of two:

192 = (2 × 2) × (2 × 2) × (2 × 3) × 3

Simplifying each pair of factors under the square root gives:

[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]

Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:

[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]

Therefore,

48√2 in the simplest form of the expression √192.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:  Approximately 10.7 inches

=================================================

Work Shown:

[tex]x = 27.2 \text{ cm}\\\\x = 27.2 \text{ cm} * \frac{1 \text{ inch}}{2.54 \text{ cm}}\\\\x = \frac{27.2}{2.54} \text{ inch}\\\\x \approx 10.7086614 \text{ inches}\\\\x \approx 10.7 \text{ inches}\\\\[/tex]

Effectively all we do is divide 27.2 over 2.54 to convert from cm to inches.

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I rounded to one decimal place because 27.2 is to one decimal place. If your teacher says for you to round otherwise, then follow those instructions of course.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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step by step explmationn

Answer:

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Step-by-step explanation:

You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Based on the Pythagoras Theorem, the longest side of a right-angled triangle is: [tex]\sqrt{a^{2}+b^{2} }[/tex] where a and b are the legs of the triangle.

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Answers

I think 84 degrees................ :)
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Explanation:
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Answers

Answer:

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Step-by-step explanation:

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hope this helps

<3

: )

Answer:

50

Step-by-step explanation:

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

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What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

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Number of times = 125 in³ / 65.1 in³ = 1.92

Learn more about volume

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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Answers

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Step-by-step explanation:

The ratio of the areas is the square of the ratio of the sides.

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Answers

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Step-by-step explanation:

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