Question

which expression is equivalent to startfraction startroot 2 endroot over rootindex 3 startroot 2 endroot endfraction?one-fourthrootindex 6 startroot 2 endrootstartroot 2 endrootstartfraction startroot 2 endroot over 2 endfraction

Answer 1

The expression is equivalent to √2 / ∛2, which simplifies to 1 / 2.

Step-by-step explanation:

The expression √2 / ∛2 is equivalent to √2 / 2.

To simplify this expression, we can rewrite the square root as a fractional power: 2√2 / ∛2.

Next, we can rewrite √2 as 1√2.

Combining the numerator and denominator, we get 1√2 / 2.