Question

What is √25x²y²/√xy in simplest form? Assume x≥0 and y≥0

Answer 1

To simplify √(25x²y²)/√xy, first simplify the square roots and then simplify the variables. The simplest form is (5xy)/(√(xy)).

Step-by-step explanation:

To simplify the expression √(25x²y²)/√xy, we need to simplify the square roots and the variables separately.

First, let's simplify the square roots:

• √(25x²y²) can be simplified to 5xy.
• √(xy) cannot be simplified any further.

Now, let's simplify the variables:

• x² can be simplified to x.
• y² can be simplified to y.

Combining these simplifications, we have (5xy)/(√(xy)) as the simplest form of the expression.