# Simplify ( square root of 3- square root of 6)/( square root of 3+ square root of 6)

Multiply by .
Combine fractions.
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Simplify the numerator.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
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 .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Multiply .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Multiply .
Multiply by .
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.
Divide by .
Evaluate the exponent.
Subtract from .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Move the negative one from the denominator of .
Rewrite as .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify ( square root of 3- square root of 6)/( square root of 3+ square root of 6)