Simplify the radical expression. Assume all variables represent nonnegative real numbers.
-$\sqrt { \mathrm { m } ^ { 21 } \mathrm { n }^{ 12} }$
A) $\mathrm { m } ^ { 10 } \mathrm { n } ^ { 6 }$
B) $m ^{10}n^ 6 \sqrt { m }$
C) $\mathrm { m }^{ 10} \mathrm { n } ^{12} \sqrt { \mathrm { m } }$
D) $\mathrm { m } ^ { 11 } \mathrm { n } ^7$

Question

Quizplus · Accepted Answer

The expression $\sqrt { \mathrm { m } ^ { 21 } \mathrm { n }^{ 12} }$ simplifies to $m ^{10}n^ 6 \sqrt { m }$ because the square root of $m^{21}$ is $m^{10}\sqrt{m}$ (since $21 = 2*10 + 1$) and the square root of $n^{12}$ is $n^6$ (since $12 = 2*6$).

Simplify the Radical Expression m21n12\sqrt { \mathrm { m } ^ { 21 } \mathrm { n }^{ 12} }m21n12​

Simplify the Radical Expression $\sqrt { \mathrm { m } ^ { 21 } \mathrm { n }^{ 12} }$