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Home > PCT > Chapter Ch6 > Lesson 6.4.1 > Problem 6-145

6-145.

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

Step 1:

Write the fraction as one radical.

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

Step 2:

Simplify.

$\sqrt{4m}=6$

Step 3:

Square both sides.

$4m=36$

Step 4:

Solve.

Answer:

$m=9$

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