contestada

what is 2 3/2 equal to?
A) Two times the square root of 8
B) three times the square root of 8
C) Three times the square root of 16
D) Two times the square root of 16​

Respuesta :

For this case we have the following expression:

[tex]2 ^ {\frac {3} {2}}[/tex]

We must indicate an equivalent expression. By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Then, rewriting the expression:[tex]2 ^ {\frac {3} {2}} = \sqrt {2 ^ 3} = \sqrt {8}[/tex]

Then, the expression is equivalent to the square root of 8.

ANswer:

Square root of 8.