Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

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.

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.

Group and together.

Apply the distributive property.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Combine using the product rule for radicals.

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.

Simplify (7 square root of x)/(4 square root of x+ square root of y)