# Divide ( square root of 3-2)/( square root of 3+2) 3-23+2
Multiply 3-23+2 by 3-23-2.
3-23+2⋅3-23-2
Multiply 3-23+2 and 3-23-2.
(3-2)(3-2)(3+2)(3-2)
Expand the denominator using the FOIL method.
(3-2)(3-2)32+3⋅-2+23-4
Simplify.
(3-2)(3-2)-1
Move the negative one from the denominator of (3-2)(3-2)-1.
-1⋅((3-2)(3-2))
Rewrite -1⋅((3-2)(3-2)) as -((3-2)(3-2)).
-((3-2)(3-2))
Expand (3-2)(3-2) using the FOIL Method.
Apply the distributive property.
-(3(3-2)-2(3-2))
Apply the distributive property.
-(33+3⋅-2-2(3-2))
Apply the distributive property.
-(33+3⋅-2-23-2⋅-2)
-(33+3⋅-2-23-2⋅-2)
Simplify and combine like terms.
Simplify each term.
Combine using the product rule for radicals.
-(3⋅3+3⋅-2-23-2⋅-2)
Multiply 3 by 3.
-(9+3⋅-2-23-2⋅-2)
Rewrite 9 as 32.
-(32+3⋅-2-23-2⋅-2)
Pull terms out from under the radical, assuming positive real numbers.
-(3+3⋅-2-23-2⋅-2)
Move -2 to the left of 3.
-(3-2⋅3-23-2⋅-2)
Multiply -2 by -2.
-(3-23-23+4)
-(3-23-23+4)
Add 3 and 4.
-(7-23-23)
Subtract 23 from -23.
-(7-43)
-(7-43)
Apply the distributive property.
-1⋅7-(-43)
Multiply -1 by 7.
-7-(-43)
Multiply -4 by -1.
-7+43
The result can be shown in multiple forms.
Exact Form:
-7+43
Decimal Form:
-0.07179676…
Divide ( square root of 3-2)/( square root of 3+2)

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