Question

simplify. assume q is greater than or equal to zero. \\(sqrt{18q^{4}}\\)

Explanation:

Step1: Factor the radicand

$\sqrt{18q^4} = \sqrt{9 \times 2 \times q^4}$

Step2: Split into separate square roots

$\sqrt{9} \times \sqrt{2} \times \sqrt{q^4}$

Step3: Simplify each square root

$\sqrt{9}=3$, $\sqrt{q^4}=q^2$

Step4: Combine simplified terms

$3 \times q^2 \times \sqrt{2}$

Answer:

$3q^2\sqrt{2}$