Question

Look at picture and plzz help me

Answer 1

Answer: A

Step-by-step explanation:

1. factor out the greatest perfect foot factor
2. the root of a product is equal to the product of the roots of eachother
3. reduce the index of the radical and exponet with 5

Answer 2

For this case we must simplify the following expression:

$\sqrt [5] {224x ^ {11} * y ^ 8}$

We follow the steps below:

We rewrite 224 as the product of: 32 * 7

$\sqrt [5] {32 * 7 * x ^ {11} * y ^ 8} =$

We rewrite $32\ as\ 2 ^ 5, x^{11}\ as\ x * x^{10}:$

$\sqrt [5] {2 ^ 5 * 7 * x ^ {10} * x * y ^ 8} =$

We rewrite $x^{10}$ as $(x ^ 2) ^ 5,$ we also rewrite $y ^ 8$ as $y ^ 5 * y ^ 3:$

$\sqrt [5] {2 ^ 5 * 7 * (x ^ 2) ^ 5 * x * y ^ 5 * y ^ 3} =$

We reorder:

$\sqrt [5] {2 ^ 5 * (x ^ 2) ^ 5 * y ^ 5 * 7 * x * y ^ 3} =\\\sqrt [5] {(2 * x ^ 2 * y) ^ 5 * (7 * x * y ^ 3)} =$

We take the terms of the radical considering that: $\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

$2 x ^ 2y \sqrt [5] {7 x y ^ 3}$

Answer:

Option A