Question

Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 + 8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5

Answer 1

`(B)√(21)\\(C)√(13+8)`

Explanation:

Given the expression
`(13 + 8) ^(1/2)`

Using law of indices:
`a^(1/2)=√(a)`

`(13 + 8) ^(1/2)=√(13+8)`

Also:13+8=21

Therefore:

`(13 + 8) ^(1/2)=21^(1/2)\\=√(21)`