# Solve for m m^2 = square root of m

Since the radical is on the right side of the equation, switch the sides so it is on the left side of the equation.
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Solve for .
Subtract from both sides of the equation.
Factor the left side of the equation.
Factor out of .
Raise to the power of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Factor.
Simplify.
One to any power is one.
Multiply by .
Remove unnecessary parentheses.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to .
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
Set the next factor equal to and solve.
Set the next factor equal to .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
One to any power is one.
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
Rewrite as .
Rewrite as .
Multiply by .
The final answer is the combination of both solutions.
The final solution is all the values that make true.
Solve for m m^2 = square root of m