# Simplify the Radical Expression (3+ square root of 8)/(2-2 square root of 8)

Simplify the Radical Expression (3+ square root of 8)/(2-2 square root of 8)
Simplify the numerator.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
The absolute value is the distance between a number and zero. The distance between and is .
Simplify the denominator.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
The absolute value is the distance between a number and zero. The distance between and is .
Multiply by .
Multiply by .
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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.
Multiply by .
Multiply by .
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Multiply by .