Final answer:
The square root of a quotient x/y, where x is greater than or equal to 0 and y is greater than 0, is the quotient of the square roots, which is √(x) / √(y).
Step-by-step explanation:
If x is greater than or equal to 0 and y > 0, the expression for the square root of x/y is given by The square root of a quotient equals the quotient of the square roots, which is mathematically represented as √(x/y) = √(x) / √(y). Therefore, out of the provided options, the correct choice is B) √(x) / √(y).
To understand why this is the case, let's consider that we can express square roots as fractions in the exponent. For instance, the square root of a number is the same as raising that number to the 0.5 power. Applying this to a quotient, we have (x/y)0.5 = x0.5 / y0.5, which simplifies to √(x) / √(y).