Question

Help need on 2 algebra problems !!!!!!! please

Evaluate the root without using a calculator, or note that the root isn't a real number.

1. square root 8√256
A. Not a real number

B. 16

C. 2

D. 4



2.square root 4√16
A. 2

B. –2

C. 3

D. Not a real number

Answer 1

1) C. 2

2) A. 2

Explanation:

1. We need to descompose 256 into its prime factors:

`256=2*2*2*2*2*2*2*2=2^8`

We must rewrite the expression
`\sqrt[8]{256}`:

`=\sqrt[8]{2^8}`

We need to remember that:

`\sqrt[n]{a^n}=a`

Then:

`=2`

2. Let's descompose 16 into its prime factors:

`16=2*2*2*2=2^4`

We must rewrite the expression
`\sqrt[4]{16}`:

`=\sqrt[4]{2^4}`

Then we get:

`=2`