Answer
a) $5^{\frac{1}{3}}$
b) $\sqrt 5$
c) No. $\sqrt(25)$ = 5 =$\sqrt 5$ * $\sqrt 5$
Work Step by Step
a)$\sqrt[3] 5$ = $\sqrt[3]( 5^{1})$= $5^{\frac{1}{3}}$
b) $5^{\frac{1}{2}}$ = $\sqrt[2]( 5^{1})$ = $\sqrt 5$
c) Another way of looking at it with exponents:
$\sqrt (5^{2})$ = ${{5^2}^{\frac{1}{2}}}$ = ${5^1}$ = 5
${\sqrt 5}^{2}$= ${5^{\frac{1}{2}}}^{2}$ = 5
