Algebra Examples

Simplify (-1+ square root of 3)/(1+ square root of 3)
Step 1
Multiply by .
Step 2
Combine fractions.
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Step 2.1
Multiply by .
Step 2.2
Expand the denominator using the FOIL method.
Step 2.3
Simplify.
Step 3
Simplify the numerator.
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Step 3.1
Rewrite as .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 3.4
Raise to the power of .
Step 3.5
Raise to the power of .
Step 3.6
Use the power rule to combine exponents.
Step 3.7
Add and .
Step 4
Rewrite as .
Step 5
Expand using the FOIL Method.
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Step 5.1
Apply the distributive property.
Step 5.2
Apply the distributive property.
Step 5.3
Apply the distributive property.
Step 6
Simplify and combine like terms.
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Step 6.1
Simplify each term.
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Step 6.1.1
Multiply by .
Step 6.1.2
Multiply by .
Step 6.1.3
Multiply by .
Step 6.1.4
Multiply .
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Step 6.1.4.1
Multiply by .
Step 6.1.4.2
Multiply by .
Step 6.1.4.3
Raise to the power of .
Step 6.1.4.4
Raise to the power of .
Step 6.1.4.5
Use the power rule to combine exponents.
Step 6.1.4.6
Add and .
Step 6.1.5
Rewrite as .
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Step 6.1.5.1
Use to rewrite as .
Step 6.1.5.2
Apply the power rule and multiply exponents, .
Step 6.1.5.3
Combine and .
Step 6.1.5.4
Cancel the common factor of .
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Step 6.1.5.4.1
Cancel the common factor.
Step 6.1.5.4.2
Rewrite the expression.
Step 6.1.5.5
Evaluate the exponent.
Step 6.2
Add and .
Step 6.3
Subtract from .
Step 7
Cancel the common factor of and .
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Step 7.1
Factor out of .
Step 7.2
Move the negative one from the denominator of .
Step 8
Rewrite as .
Step 9
Apply the distributive property.
Step 10
Multiply by .
Step 11
Multiply .
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Step 11.1
Multiply by .
Step 11.2
Multiply by .
Step 12
Apply the distributive property.
Step 13
Multiply by .
Step 14
The result can be shown in multiple forms.
Exact Form:
Decimal Form: