Simplify ( square root of 3- square root of 2)^2

Math
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Multiply .
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Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Add and .
Subtract from .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify ( square root of 3- square root of 2)^2

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