Algebra Examples

Simplify ( square root of 20x+5)/( square root of 5x)
Step 1
Combine and into a single radical.
Step 2
Factor out of .
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Step 2.1
Factor out of .
Step 2.2
Factor out of .
Step 2.3
Factor out of .
Step 3
Reduce the expression by cancelling the common factors.
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Step 3.1
Cancel the common factor.
Step 3.2
Rewrite the expression.
Step 4
Rewrite as .
Step 5
Multiply by .
Step 6
Combine and simplify the denominator.
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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 6.6
Rewrite as .
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Step 6.6.1
Use to rewrite as .
Step 6.6.2
Apply the power rule and multiply exponents, .
Step 6.6.3
Combine and .
Step 6.6.4
Cancel the common factor of .
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Step 6.6.4.1
Cancel the common factor.
Step 6.6.4.2
Rewrite the expression.
Step 6.6.5
Simplify.
Step 7
Combine using the product rule for radicals.
Step 8
Reorder factors in .