# Multiply (3 square root of 2-2 square root of 3)(8 square root of 3+4 square root of 2)

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 .
Multiply by .
Combine using the product rule for radicals.
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.
Divide by .
Evaluate the exponent.
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.
Divide by .
Evaluate the exponent.
Multiply by .
Multiply .
Multiply by .
Combine using the product rule for radicals.
Multiply by .
Subtract from .
Subtract from .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Multiply (3 square root of 2-2 square root of 3)(8 square root of 3+4 square root of 2)

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