Question

simplify. assume j is greater than or equal to zero.
\sqrt{8j^{8}}

Explanation:

Step1: Split radical into factors

$\sqrt{8j^8} = \sqrt{4 \times 2 \times j^8}$

Step2: Separate radicals for each factor

$\sqrt{4} \times \sqrt{2} \times \sqrt{j^8}$

Step3: Simplify each radical

$\sqrt{4}=2$, $\sqrt{j^8}=j^4$ (since $j\geq0$)

Step4: Combine simplified terms

$2 \times j^4 \times \sqrt{2}$

Answer:

$2j^4\sqrt{2}$