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