Question

You must show your work for each

Answer 1

1.

To solve
`\sqrt[n]{16}=2`, you need to turn the question around and ask what value of n makes
`2^n=16`.

n = 4

2.

To simplify this, your teacher could mean two things, either "just simplify the radical" or "rationalize the denominator."

For the first option,
`√(8)=√(4\cdot2)=√(4)\cdot√(2)=2\cdot√(2)`, so your overall expression becomes:

`(6)/(2\cdot√(2)) = (3)/(√(2))`

Now if your teacher also wants the denominator rationalized, then you keep going and multiply that by
`(√(2))/(√(2))`:

`(3)/(√(2))\cdot (√(2))/(√(2))=(3√(2))/(2)`

Answer 2

1. 8

2.3

Explanation:

This for num 2

`√(8) = √(2 * 4) = 2 √(4) = 2`

6÷2=3