Pre-Algebra Examples

Simplify 4x square root of 45x^7+6x^2 square root of 20x^5
Step 1
Simplify each term.
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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 1.1.3
Factor out .
Step 1.1.4
Rewrite as .
Step 1.1.5
Move .
Step 1.1.6
Rewrite as .
Step 1.1.7
Add parentheses.
Step 1.2
Pull terms out from under the radical.
Step 1.3
Multiply by by adding the exponents.
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Step 1.3.1
Move .
Step 1.3.2
Multiply by .
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Step 1.3.2.1
Raise to the power of .
Step 1.3.2.2
Use the power rule to combine exponents.
Step 1.3.3
Add and .
Step 1.4
Multiply by .
Step 1.5
Rewrite as .
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Step 1.5.1
Factor out of .
Step 1.5.2
Rewrite as .
Step 1.5.3
Factor out .
Step 1.5.4
Rewrite as .
Step 1.5.5
Move .
Step 1.5.6
Rewrite as .
Step 1.5.7
Add parentheses.
Step 1.6
Pull terms out from under the radical.
Step 1.7
Multiply by by adding the exponents.
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Step 1.7.1
Move .
Step 1.7.2
Use the power rule to combine exponents.
Step 1.7.3
Add and .
Step 1.8
Multiply by .
Step 2
Add and .