Simplify the radical expression. Assume all variables represent nonnegative real numbers.
-$\sqrt { 200 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }$
A) $10 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } \sqrt { 2 \mathrm { k } }$
B) $10 \mathrm { k } ^ { 3 } \mathrm { q } ^ { 4 } \sqrt { 2 }$
C) $10 \mathrm { k } ^ { 2 } q ^ { 4 } \sqrt { 2 \mathrm { k } }$
D) $10 \mathrm { k } ^ { 3 } \mathrm { q } ^ { 4 } \sqrt { 2 \mathrm { k } }$

Question

Quizplus · Accepted Answer

$\sqrt{200k^7q^8}$ can be simplified as $\sqrt{100k^6q^8}\cdot\sqrt{2k}$. Then, $\sqrt{100k^6q^8}=10k^3q^4$. Therefore, the simplified expression is $10\mathrm{k}^3\mathrm{q}^4\sqrt{2\mathrm{k}}$.

Simplify the Radical Expression 200k7q8\sqrt { 200 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }200k7q8​

Simplify the Radical Expression $\sqrt { 200 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }$