Algebra Examples

Simplify 6 square root of 8c^3d^5*4 square root of 2cd^3
Step 1
Rewrite as .
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Step 1.1
Factor out of .
Step 1.2
Rewrite as .
Step 1.3
Factor out .
Step 1.4
Factor out .
Step 1.5
Rewrite as .
Step 1.6
Move .
Step 1.7
Move .
Step 1.8
Rewrite as .
Step 1.9
Add parentheses.
Step 1.10
Add parentheses.
Step 2
Pull terms out from under the radical.
Step 3
Multiply by .
Step 4
Rewrite as .
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Step 4.1
Factor out .
Step 4.2
Move .
Step 4.3
Reorder and .
Step 4.4
Add parentheses.
Step 4.5
Add parentheses.
Step 5
Pull terms out from under the radical.
Step 6
Multiply by by adding the exponents.
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Step 6.1
Move .
Step 6.2
Multiply by .
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Step 6.2.1
Raise to the power of .
Step 6.2.2
Use the power rule to combine exponents.
Step 6.3
Add and .
Step 7
Multiply .
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Step 7.1
Multiply by .
Step 7.2
Raise to the power of .
Step 7.3
Raise to the power of .
Step 7.4
Use the power rule to combine exponents.
Step 7.5
Add and .
Step 8
Rewrite as .
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Step 8.1
Use to rewrite as .
Step 8.2
Apply the power rule and multiply exponents, .
Step 8.3
Combine and .
Step 8.4
Cancel the common factor of .
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Step 8.4.1
Cancel the common factor.
Step 8.4.2
Rewrite the expression.
Step 8.5
Simplify.
Step 9
Multiply by by adding the exponents.
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Step 9.1
Move .
Step 9.2
Multiply by .
Step 10
Multiply by by adding the exponents.
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Step 10.1
Move .
Step 10.2
Multiply by .
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Step 10.2.1
Raise to the power of .
Step 10.2.2
Use the power rule to combine exponents.
Step 10.3
Add and .
Step 11
Multiply by .