Pre-Algebra Examples

Evaluate square root of 12(6 square root of 2- square root of 12)
Step 1
Rewrite as .
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Step 1.1
Factor out of .
Step 1.2
Rewrite as .
Step 2
Pull terms out from under the radical.
Step 3
Simplify each term.
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Step 3.1
Rewrite as .
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Step 3.1.1
Factor out of .
Step 3.1.2
Rewrite as .
Step 3.2
Pull terms out from under the radical.
Step 3.3
Multiply by .
Step 4
Apply the distributive property.
Step 5
Multiply .
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Step 5.1
Multiply by .
Step 5.2
Combine using the product rule for radicals.
Step 5.3
Multiply by .
Step 6
Multiply .
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Step 6.1
Multiply by .
Step 6.2
Raise to the power of .
Step 6.3
Raise to the power of .
Step 6.4
Use the power rule to combine exponents.
Step 6.5
Add and .
Step 7
Simplify each term.
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Step 7.1
Rewrite as .
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Step 7.1.1
Use to rewrite as .
Step 7.1.2
Apply the power rule and multiply exponents, .
Step 7.1.3
Combine and .
Step 7.1.4
Cancel the common factor of .
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Step 7.1.4.1
Cancel the common factor.
Step 7.1.4.2
Rewrite the expression.
Step 7.1.5
Evaluate the exponent.
Step 7.2
Multiply by .
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: