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

Answer:

$(B)\sqrt{21}\\(C)\sqrt{13+8}$

Step-by-step explanation:

Given the expression $(13 + 8) ^{1/2}$

Using law of indices: $a^{1/2}=\sqrt{a}$

$(13 + 8) ^{1/2}=\sqrt{13+8}$

Also:13+8=21

Therefore:

$(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}$