Rewrite the expression using the least common index of .

Use to rewrite as .

Rewrite as .

Rewrite as .

Use to rewrite as .

Rewrite as .

Rewrite as .

Combine using the product rule for radicals.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Combine using the product rule for radicals.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Pull terms out from under the radical, assuming positive real numbers.

Simplify square root of 2* cube root of 2* sixth root of 2