Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

Simplify.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Combine using the product rule for radicals.

Multiply by .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Multiply by .

Multiply by .

Multiply by .

Add and .

Add and .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Simplify ( square root of 3+1)/( square root of 3-1)