Basic Math Examples

Evaluate (6-7 square root of 10)/(4+ square root of 15)*(4- square root of 15)/(4- square root of 15)
Step 1
Cancel the common factor of .
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Step 1.1
Cancel the common factor.
Step 1.2
Rewrite the expression.
Step 2
Multiply by .
Step 3
Multiply by .
Step 4
Combine fractions.
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Step 4.1
Multiply by .
Step 4.2
Expand the denominator using the FOIL method.
Step 4.3
Simplify.
Step 4.4
Divide by .
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 each term.
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Step 6.1
Multiply by .
Step 6.2
Multiply by .
Step 6.3
Multiply by .
Step 6.4
Multiply .
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Step 6.4.1
Multiply by .
Step 6.4.2
Combine using the product rule for radicals.
Step 6.4.3
Multiply by .
Step 6.5
Rewrite as .
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Step 6.5.1
Factor out of .
Step 6.5.2
Rewrite as .
Step 6.6
Pull terms out from under the radical.
Step 6.7
Multiply by .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: