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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

Respuesta :

luisejr77

Answer:

1) C. 2

2) A. 2

Step-by-step explanation:

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

[tex]256=2*2*2*2*2*2*2*2=2^8[/tex]

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

[tex]=\sqrt[8]{2^8}[/tex]

We need to remember that:

[tex]\sqrt[n]{a^n}=a[/tex]

Then:

[tex]=2[/tex]

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

[tex]16=2*2*2*2=2^4[/tex]

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

[tex]=\sqrt[4]{2^4}[/tex]

Then we get:

[tex]=2[/tex]

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