Question

question
rewrite \sqrt3{q^{5}} in simplest form.
answer attempt 1 out of 2

Explanation:

Step1: Split exponent into factors

$q^5 = q^{3+2} = q^3 \cdot q^2$

Step2: Rewrite root as product of roots

$\sqrt[3]{q^3 \cdot q^2} = \sqrt[3]{q^3} \cdot \sqrt[3]{q^2}$

Step3: Simplify perfect cube root

$\sqrt[3]{q^3} = q$

Answer:

$q\sqrt[3]{q^2}$