Pre-Algebra Examples

Solve Using the Square Root Property (x)^2+(4x)^2=(9)^2
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the product rule to .
Step 1.1.2
Raise to the power of .
Step 1.2
Add and .
Step 2
Raise to the power of .
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5
Simplify .
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Step 5.1
Rewrite as .
Step 5.2
Simplify the numerator.
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Step 5.2.1
Rewrite as .
Step 5.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 5.3
Multiply by .
Step 5.4
Combine and simplify the denominator.
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Step 5.4.1
Multiply by .
Step 5.4.2
Raise to the power of .
Step 5.4.3
Raise to the power of .
Step 5.4.4
Use the power rule to combine exponents.
Step 5.4.5
Add and .
Step 5.4.6
Rewrite as .
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Step 5.4.6.1
Use to rewrite as .
Step 5.4.6.2
Apply the power rule and multiply exponents, .
Step 5.4.6.3
Combine and .
Step 5.4.6.4
Cancel the common factor of .
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Step 5.4.6.4.1
Cancel the common factor.
Step 5.4.6.4.2
Rewrite the expression.
Step 5.4.6.5
Evaluate the exponent.
Step 6
The complete solution is the result of both the positive and negative portions of the solution.
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Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Next, use the negative value of the to find the second solution.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: