What is the simplified form of 2160x8/60x2? Assume 36x3 36x2 6x3 6x2 *see image

Question

asked May 16, 2020 205k views

1 Answer

Llogiq · Answer 1 · 2020-05-20T05:59:34+0000

For this case we must simplify the following expression:

$\sqrt {\frac {2160x ^ 8} {60x ^ 2}}$

We rewrite the expression:

$\sqrt {\frac {60 * 36 * x ^ 8} {60x ^ 2}} =$

We eliminate common terms:

$\sqrt {\frac {36 * x ^ 8} {x ^ 2}} =$

For division of powers of the same base, the same base is placed and the exponents are subtracted:

$\sqrt {36x ^ {8-2}} =\\\sqrt {36x ^ {6}} =$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$6x ^ {\frac {6} {2}} =\\6x ^ 3$

Answer:

Option C