To remove the radical on the left side of the equation, square both sides 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.

Apply the product rule to .

Raise to the power of .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from .

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify.

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Add and .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Multiply by .

Simplify .

The final answer is the combination of both solutions.

Exclude the solutions that do not make true.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for u square root of 10u^2-4u-8=3u