Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

Simplify.

Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

Simplify.

Group and together.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Multiply .

Combine using the product rule for radicals.

Multiply by .

Multiply .

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 .

Evaluate the exponent.

Multiply by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Simplify (4( square root of 5+ square root of 7))/( square root of 35+5 square root of 5+ square root of 7)