The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write as a single radical? Explain.

Answer:

No, it is still possible to write the expression as a single radical. Because the radicands are powers of the same base (y), they can be rewritten using rational exponents as y^(3/4) and y^(1/2). By finding a common denominator for the exponents and subtracting them (3/4 - 2/4 = 1/4), the expression simplifies to y^(1/4), which is the 4th root of y.