simplify. assume a is greater than or equal to zero. $sqrt{18a^{4}}$
simplify. assume a is greater than or equal to zero. $sqrt{18a^{4}}$
Answer
Explanation:
Step1: Factor radicand into squares
$\sqrt{18a^4} = \sqrt{9 \cdot 2 \cdot (a^2)^2}$
Step2: Separate perfect square factors
$\sqrt{9} \cdot \sqrt{(a^2)^2} \cdot \sqrt{2}$
Step3: Simplify perfect square roots
$3 \cdot a^2 \cdot \sqrt{2}$
Step4: Rearrange terms
$3a^2\sqrt{2}$
Answer:
$3a^2\sqrt{2}$