Simplify by factoring.
-$\sqrt{100 m^{19} n^{6}}$
A) $10 m^{9} n^{3}$
B) $10 m^{10} n^{4}$
C) $10 m^{9} n^{3} \sqrt{m}$
D) $10 m^{8} n^{3} \sqrt{m}$

Question

Quizplus · Accepted Answer

The expression $\sqrt{100 m^{19} n^{6}}$ simplifies to $10 m^{9} n^{3} \sqrt{m}$ because the square root of 100 is 10, $m^{19}$ can be factored into $m^{18} \cdot m$ (where $m^{18}$ is a perfect square and its square root is $m^9$), and $n^6$ is a perfect square whose square root is $n^3$.

Simplify by Factoring 100m19n6\sqrt{100 m^{19} n^{6}}100m19n6​ A) 10m9n310 m^{9} n^{3}10m9n3 B) 10m10n410 m^{10} n^{4}10m10n4

Simplify by Factoring $\sqrt{100 m^{19} n^{6}}$ A) $10 m^{9} n^{3}$ B) $10 m^{10} n^{4}$