Question

Simplify. All variables represent nonnegative numbers.
Equation below

Answer 1

\[\sqrt{75m ^{2}}\]
\[\sqrt{x ^{6}/y ^{2}}\]
\[\sqrt{p ^{9}/144p}\]

Answer 2

\[\Large \sqrt{75m^{2}}\]


\[\Large \sqrt{25*3m^{2}}\]


\[\Large \sqrt{25m^2*3}\]


\[\Large \sqrt{25m^2}*\sqrt{3}\]


\[\Large \sqrt{(5m)^2}*\sqrt{3}\]


\[\Large 5m\sqrt{3}\]



So \[\Large \sqrt{75m^{2}}\] fully simplifies to \[\Large 5m\sqrt{3}\]