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 .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

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.

Combine using the product rule for radicals.

Multiply by .

Combine using the product rule for radicals.

Multiply by .

Combine using the product rule for radicals.

Multiply by .

Rewrite as .

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

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.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Evaluate ( square root of 11+ square root of 5)/( square root of 11- square root of 5)