# Rationalize the Numerator square root of 147/2

Split the fraction inside the radical into a separate radical expression in the numerator and the denominator. A fraction of roots is equivalent to a root of the fraction.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Rationalize the numerator.
Simplify.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
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.
Multiply by .
Combine using the product rule for radicals.
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Rationalize the Numerator square root of 147/2