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.

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Rationalize the numerator.

Simplify.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

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