Question

Simplify/ Multiple choice

Answer 1

c

Explanation:

Answer 2

C

Explanation:

Remember that when we have roots (like the square root here), then they can be written as fractional exponents.

Here, we have √2, which is equal to
`2^(1/2)`, and we have ∛2, which is equal to
`2^(1/3)`. That means:

(√2)(∛2) =
`2^(1/2)*2^(1/3)`

By property of exponents, when we multiply two exponents with the same base (2 here), we can combine them into one exponent by adding the two powers:

`2^(1/2)*2^(1/3)=2^(1/2+1/3)=2^(3/6+2/6)=2^(5/6)`

The answer is thus C.

~ an aesthetics lover