Simplify (( square root of 81)/( square root of 36))÷(( square root of 3)/( square root of 2))

Math
To divide by a fraction, multiply by its reciprocal.
Combine and into a single radical.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Simplify the numerator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the denominator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
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 .
Evaluate the exponent.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine using the product rule for radicals.
Multiply by .
Combine and .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify (( square root of 81)/( square root of 36))÷(( square root of 3)/( square root of 2))

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