Pre-Algebra Examples

Divide (2+ square root of 5)/(6+2 square root of 5)
Step 1
Multiply by .
Step 2
Multiply by .
Step 3
Expand the denominator using the FOIL method.
Step 4
Simplify.
Step 5
Cancel the common factor of and .
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Step 5.1
Factor out of .
Step 5.2
Cancel the common factors.
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Step 5.2.1
Factor out of .
Step 5.2.2
Cancel the common factor.
Step 5.2.3
Rewrite the expression.
Step 6
Expand using the FOIL Method.
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Step 6.1
Apply the distributive property.
Step 6.2
Apply the distributive property.
Step 6.3
Apply the distributive property.
Step 7
Simplify and combine like terms.
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Step 7.1
Simplify each term.
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Step 7.1.1
Multiply by .
Step 7.1.2
Multiply by .
Step 7.1.3
Move to the left of .
Step 7.1.4
Multiply .
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Step 7.1.4.1
Raise to the power of .
Step 7.1.4.2
Raise to the power of .
Step 7.1.4.3
Use the power rule to combine exponents.
Step 7.1.4.4
Add and .
Step 7.1.5
Rewrite as .
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Step 7.1.5.1
Use to rewrite as .
Step 7.1.5.2
Apply the power rule and multiply exponents, .
Step 7.1.5.3
Combine and .
Step 7.1.5.4
Cancel the common factor of .
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Step 7.1.5.4.1
Cancel the common factor.
Step 7.1.5.4.2
Rewrite the expression.
Step 7.1.5.5
Evaluate the exponent.
Step 7.1.6
Multiply by .
Step 7.2
Subtract from .
Step 7.3
Add and .
Step 8
Split the fraction into two fractions.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: