Factor out of .

Factor out of .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Rewrite as .

Factor out of .

Rewrite as .

Add parentheses.

Add parentheses.

Pull terms out from under the radical.

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Combine using the product rule for radicals.

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Factor out of .

Rewrite as .

Move .

Rewrite as .

Pull terms out from under the radical.

Multiply by .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Simplify (8 square root of 6mn+6 square root of 8mn)/(2 square root of 2mn)