Basic Math Examples

Simplify (4 square root of 10+ square root of 11+ square root of 110+13)/( square root of 9+ square root of 10+ square root of 11)
Step 1
Simplify the denominator.
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Step 1.1
Rewrite as .
Step 1.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2
Multiply by .
Step 3
Multiply by .
Step 4
Expand the denominator using the FOIL method.
Step 5
Simplify.
Step 6
Multiply by .
Step 7
Multiply by .
Step 8
Expand the denominator using the FOIL method.
Step 9
Simplify.
Step 10
Cancel the common factor of and .
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Step 10.1
Factor out of .
Step 10.2
Cancel the common factors.
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Step 10.2.1
Factor out of .
Step 10.2.2
Cancel the common factor.
Step 10.2.3
Rewrite the expression.
Step 11
Move the negative in front of the fraction.
Step 12
The result can be shown in multiple forms.
Exact Form:
Decimal Form: