# Simplify ( square root of 2m square root of 5)/( square root of 20m) Combine and into a single radical.
Reduce the expression by cancelling the common factors.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Rewrite the expression.
Combine using the product rule for radicals.
Combine and .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Any root of is .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify ( square root of 2m square root of 5)/( square root of 20m)

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