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

Respuesta :

Answer:

[tex](B)\sqrt{21}\\(C)\sqrt{13+8}[/tex]

Step-by-step explanation:

Given the expression [tex](13 + 8) ^{1/2}[/tex]

Using law of indices: [tex]a^{1/2}=\sqrt{a}[/tex]

[tex](13 + 8) ^{1/2}=\sqrt{13+8}[/tex]

Also:13+8=21

Therefore:

[tex](13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}[/tex]