# Simplify (-4-2 square root of 2)(3+ square root of 2)

(-4-22)(3+2)
Expand (-4-22)(3+2) using the FOIL Method.
Apply the distributive property.
-4(3+2)-22(3+2)
Apply the distributive property.
-4⋅3-42-22(3+2)
Apply the distributive property.
-4⋅3-42-22⋅3-222
-4⋅3-42-22⋅3-222
Simplify and combine like terms.
Simplify each term.
Multiply -4 by 3.
-12-42-22⋅3-222
Multiply 3 by -2.
-12-42-62-222
Multiply -222.
Raise 2 to the power of 1.
-12-42-62-2(212)
Raise 2 to the power of 1.
-12-42-62-2(2121)
Use the power rule aman=am+n to combine exponents.
-12-42-62-221+1
-12-42-62-222
-12-42-62-222
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
-12-42-62-2(212)2
Apply the power rule and multiply exponents, (am)n=amn.
-12-42-62-2⋅212⋅2
Combine 12 and 2.
-12-42-62-2⋅222
Cancel the common factor of 2.
Cancel the common factor.
-12-42-62-2⋅222
Divide 1 by 1.
-12-42-62-2⋅21
-12-42-62-2⋅21
Evaluate the exponent.
-12-42-62-2⋅2
-12-42-62-2⋅2
Multiply -2 by 2.
-12-42-62-4
-12-42-62-4
Subtract 4 from -12.
-16-42-62
Subtract 62 from -42.
-16-102
-16-102
The result can be shown in multiple forms.
Exact Form:
-16-102
Decimal Form:
-30.14213562…
Simplify (-4-2 square root of 2)(3+ square root of 2)

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