Simplify (8 square root of 6mn+6 square root of 8mn)/(2 square root of 2mn)

Math
Cancel the common factor of and .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Rewrite as .
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Factor out of .
Rewrite as .
Add parentheses.
Add parentheses.
Pull terms out from under the radical.
Multiply by .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
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Rewrite as .
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Factor out of .
Rewrite as .
Move .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Multiply by .
Simplify terms.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Apply the distributive property.
Multiply.
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Multiply by .
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify (8 square root of 6mn+6 square root of 8mn)/(2 square root of 2mn)

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