Simplify (3n^2+ square root of 2n^2)/( square root of 10n)

Math
Simplify the numerator.
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Reorder and .
Pull terms out from under the radical.
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 .
Simplify each term.
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Rewrite as .
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Factor out of .
Rewrite as .
Add parentheses.
Pull terms out from under the radical.
Simplify (3n^2+ square root of 2n^2)/( square root of 10n)


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