Simplify. Assume that all variables represent positive real numbers.
-$\sqrt{500 k^{7} q^{8}}$
A) $10 k^{3} q^{4} \sqrt{5 k}$
B) $10 k^{2} q^{4} \sqrt{5 k}$
C) $10 k^{7} q^{8} \sqrt{5 k}$
D) $10 \mathrm{k}^{3} \mathrm{q}^{4} \sqrt{5}$

Question

Quizplus · Accepted Answer

The expression $\sqrt{500 k^{7} q^{8}}$ simplifies to $10 k^{3} q^{4} \sqrt{5 k}$ by factoring out the squares from under the square root, where $500 = 100 \times 5$, $k^{7} = k^{6} \cdot k$, and $q^{8} = q^{8}$, thus leaving $10k^{3}q^{4}\sqrt{5k}$ outside the square root.

Simplify Assume That All Variables Represent Positive Real Numbers 500k7q8\sqrt{500 k^{7} q^{8}}500k7q8​

Simplify Assume That All Variables Represent Positive Real Numbers $\sqrt{500 k^{7} q^{8}}$