please help thank you

For this case we have the following expression:
[tex]\sqrt {64}[/tex]
We have to:
[tex]64 = 8 * 8 = 8 ^ 2[/tex]
By definition of properties of powers and roots we have to meet:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Then, rewriting the expression we have:
[tex]\sqrt {8 ^ 2} = 8 ^ {\frac {2} {2}} = 8 ^ 1 = 8[/tex]
Thus, we have that the result is a whole number "8".
Answer:
whole number