Question

which expression is equivalent to the given expression 8 square root of 6

Answer 1

Answer:

$\sqrt{384}$

Step-by-step explanation:

$\sqrt{384}$ is equivalent  to $\sqrt[8]{6}$

Answer 2

An equivalent expression to the given expression $8\sqrt{6}$ is  $\sqrt{384}$

What is expression?

"It is a mathematical statement which consists of numbers, variables and some mathematical operations."

What are equivalent expressions?

"The expressions that work the same even though they look different."

For given question,

We have been given an expression $8\sqrt{6}$

We know, for a positive real number a, $\sqrt{a^2}=a$

So, we can write 8 as $8=\sqrt{8^2}$

So, given expression becomes $\sqrt{8^2}\sqrt{6}$

We know, for any positive real numbers m, n, $\sqrt{m} \sqrt{n}=\sqrt{mn}$

$\sqrt{8^2}\sqrt{6}$

= $\sqrt{8^2\times 6}$

= $\sqrt{64\times 6}$

= $\sqrt{384}$

So, an expression $8\sqrt{6}$ is equivalent to expression $\sqrt{384}$

Therefore, an equivalent expression to the given expression $8\sqrt{6}$ is  $\sqrt{384}$

Learn more about equivalent expressions here:

https://brainly.com/question/24242989

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