Question

Simplify: StartRoot StartFraction 576 Over 64 EndFraction EndRoot The prime factorization of 576 is. The prime factorization of 64 is. The expression StartRoot StartFraction 576 Over 64 EndFraction EndRoot in simplest form is.

Answer 1

The prime factor of the 576 is $2^6 * 3^2$ and the prime factor of the 64 is $2^6$. And the expression $\sqrt{\dfrac{576}{64}}$ is equal to 3.

What is simplification?

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is $\sqrt{\dfrac{576}{64}}$

The prime factor of the 576 will be

$576 = 2^6 * 3^2$

The prime factor of the 64 will be

$64 = 2^6$

Then the expression will be

$\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3$

More about the simplification link is given below.

brainly.com/question/12616840