Basic Math Examples

Solve for M M=30/( square root of 12+ square root of 27+ square root of 75)
Step 1
Simplify the denominator.
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Step 1.1
Rewrite as .
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Step 1.1.1
Factor out of .
Step 1.1.2
Rewrite as .
Step 1.2
Pull terms out from under the radical.
Step 1.3
Rewrite as .
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Step 1.3.1
Factor out of .
Step 1.3.2
Rewrite as .
Step 1.4
Pull terms out from under the radical.
Step 1.5
Rewrite as .
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Step 1.5.1
Factor out of .
Step 1.5.2
Rewrite as .
Step 1.6
Pull terms out from under the radical.
Step 1.7
Add and .
Step 1.8
Add and .
Step 2
Cancel the common factor of and .
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Step 2.1
Factor out of .
Step 2.2
Cancel the common factors.
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Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
Step 3
Multiply by .
Step 4
Combine and simplify the denominator.
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Step 4.1
Multiply by .
Step 4.2
Raise to the power of .
Step 4.3
Raise to the power of .
Step 4.4
Use the power rule to combine exponents.
Step 4.5
Add and .
Step 4.6
Rewrite as .
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Step 4.6.1
Use to rewrite as .
Step 4.6.2
Apply the power rule and multiply exponents, .
Step 4.6.3
Combine and .
Step 4.6.4
Cancel the common factor of .
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Step 4.6.4.1
Cancel the common factor.
Step 4.6.4.2
Rewrite the expression.
Step 4.6.5
Evaluate the exponent.
Step 5
Cancel the common factor of .
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Step 5.1
Cancel the common factor.
Step 5.2
Divide by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: