### Home > PC3 > Chapter 3 > Lesson 3.1.5 > Problem3-75

3-75.

Solve: $\frac { \sqrt { 8 m ^ { 2 } } } { \sqrt { 2 m } } = 6$

Rewrite the left side of the equation with a single radical.

$\sqrt{\frac{8m^{2}}{2m}}=6$

Simplify.

$\sqrt{4m}=6$

Square both sides.

$4m=36$

Solve.

$m=9$