Pre-Algebra Examples

Solve Using the Square Root Property (1/3m+4)^2=27
Step 1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2
Simplify .
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Step 2.1
Rewrite as .
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Step 2.1.1
Factor out of .
Step 2.1.2
Rewrite as .
Step 2.2
Pull terms out from under the radical.
Step 3
The complete solution is the result of both the positive and negative portions of the solution.
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Step 3.1
First, use the positive value of the to find the first solution.
Step 3.2
Combine and .
Step 3.3
Subtract from both sides of the equation.
Step 3.4
Multiply both sides of the equation by .
Step 3.5
Simplify both sides of the equation.
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Step 3.5.1
Simplify the left side.
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Step 3.5.1.1
Cancel the common factor of .
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Step 3.5.1.1.1
Cancel the common factor.
Step 3.5.1.1.2
Rewrite the expression.
Step 3.5.2
Simplify the right side.
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Step 3.5.2.1
Simplify .
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Step 3.5.2.1.1
Apply the distributive property.
Step 3.5.2.1.2
Multiply.
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Step 3.5.2.1.2.1
Multiply by .
Step 3.5.2.1.2.2
Multiply by .
Step 3.6
Next, use the negative value of the to find the second solution.
Step 3.7
Combine and .
Step 3.8
Subtract from both sides of the equation.
Step 3.9
Multiply both sides of the equation by .
Step 3.10
Simplify both sides of the equation.
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Step 3.10.1
Simplify the left side.
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Step 3.10.1.1
Cancel the common factor of .
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Step 3.10.1.1.1
Cancel the common factor.
Step 3.10.1.1.2
Rewrite the expression.
Step 3.10.2
Simplify the right side.
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Step 3.10.2.1
Simplify .
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Step 3.10.2.1.1
Apply the distributive property.
Step 3.10.2.1.2
Multiply.
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Step 3.10.2.1.2.1
Multiply by .
Step 3.10.2.1.2.2
Multiply by .
Step 3.11
The complete solution is the result of both the positive and negative portions of the solution.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: