How do you divide $\frac{\sqrt{75 m^{15}}}{\sqrt{3 m}}$ $\frac { \sqrt { 75m ^ { 15} } } { \sqrt { 3m } }$ ?

Question

1060 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-22T05:37:00

For this one there is a very easy way to get the answer; is by squaring the entire expression and simplify afterwards.

$\frac{\sqrt{75 m^{15}}}{\sqrt{3 m}}$ $sqrt(75m^15)/sqrt(3m)$

First, square the entire expression.

${(\sqrt{\frac{75 m^{15}}{3 m}})}^{2}$ $(sqrt((75m^15)/(3m)))^2$

$= \frac{75 m^{15}}{3 m}$ $=(75m^15)/(3m)$

Now simplify the expression.

$= 25 m^{14}$ $=25m^14$

How do you divide √75m15√3m\frac { \sqrt { 75m ^ { 15} } } { \sqrt { 3m } }?