Basic Math Examples

Simplify ( square root of 3- square root of 5)/(4-2 square root of 3)
Step 1
Multiply by .
Step 2
Simplify terms.
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Step 2.1
Multiply by .
Step 2.2
Expand the denominator using the FOIL method.
Step 2.3
Simplify.
Step 2.4
Cancel the common factor of and .
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Step 2.4.1
Factor out of .
Step 2.4.2
Cancel the common factors.
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Step 2.4.2.1
Factor out of .
Step 2.4.2.2
Cancel the common factor.
Step 2.4.2.3
Rewrite the expression.
Step 3
Expand using the FOIL Method.
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Step 3.1
Apply the distributive property.
Step 3.2
Apply the distributive property.
Step 3.3
Apply the distributive property.
Step 4
Simplify each term.
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Step 4.1
Move to the left of .
Step 4.2
Combine using the product rule for radicals.
Step 4.3
Multiply by .
Step 4.4
Rewrite as .
Step 4.5
Pull terms out from under the radical, assuming positive real numbers.
Step 4.6
Multiply by .
Step 4.7
Multiply .
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Step 4.7.1
Combine using the product rule for radicals.
Step 4.7.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: