# Multiply (-2 square root of 3+2)( square root of 3-5) (-23+2)(3-5)
Expand (-23+2)(3-5) using the FOIL Method.
Apply the distributive property.
-23(3-5)+2(3-5)
Apply the distributive property.
-233-23⋅-5+2(3-5)
Apply the distributive property.
-233-23⋅-5+23+2⋅-5
-233-23⋅-5+23+2⋅-5
Simplify and combine like terms.
Simplify each term.
Multiply -233.
Raise 3 to the power of 1.
-2(313)-23⋅-5+23+2⋅-5
Raise 3 to the power of 1.
-2(3131)-23⋅-5+23+2⋅-5
Use the power rule aman=am+n to combine exponents.
-231+1-23⋅-5+23+2⋅-5
Add 1 and 1.
-232-23⋅-5+23+2⋅-5
-232-23⋅-5+23+2⋅-5
Rewrite 32 as 3.
Use axn=axn to rewrite 3 as 312.
-2(312)2-23⋅-5+23+2⋅-5
Apply the power rule and multiply exponents, (am)n=amn.
-2⋅312⋅2-23⋅-5+23+2⋅-5
Combine 12 and 2.
-2⋅322-23⋅-5+23+2⋅-5
Cancel the common factor of 2.
Cancel the common factor.
-2⋅322-23⋅-5+23+2⋅-5
Divide 1 by 1.
-2⋅31-23⋅-5+23+2⋅-5
-2⋅31-23⋅-5+23+2⋅-5
Evaluate the exponent.
-2⋅3-23⋅-5+23+2⋅-5
-2⋅3-23⋅-5+23+2⋅-5
Multiply -2 by 3.
-6-23⋅-5+23+2⋅-5
Multiply -5 by -2.
-6+103+23+2⋅-5
Multiply 2 by -5.
-6+103+23-10
-6+103+23-10
Subtract 10 from -6.
-16+103+23
Add 103 and 23.
-16+123
-16+123
The result can be shown in multiple forms.
Exact Form:
-16+123
Decimal Form:
4.78460969…
Multiply (-2 square root of 3+2)( square root of 3-5)

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