How do you simplify \sqrt { 40m ^ { 4} n ^ { 3} }?
1 Answer
Aug 30, 2017
2\sqrt{10}m^2\sqrt{n^3}
Explanation:
\sqrt{40m^4n^3}
\sqrt{40}\sqrt{m^4}\sqrt{n^3}
In the next step, we assume that m^2 is positive (i.e. m is real):
\sqrt{40}m^2\sqrt{n^3}
\sqrt{4\times 10}m^2\sqrt{n^3}
\sqrt{4}\sqrt{10}m^2\sqrt{n^3}
2\sqrt{10}m^2\sqrt{n^3}
