Simplify 5√3 x 3√5, leaving your answer in exact form.

Answer 1

To simplify \( 5\sqrt{3} \times 3\sqrt{5} \), we start by multiplying the coefficients and the square roots separately.

1. Multiply the coefficients: \[ 5 \times 3 = 15 \]

2. Multiply the square roots: \[ \sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15} \]

3. Now, combine both results: \[ 5\sqrt{3} \times 3\sqrt{5} = 15\sqrt{15} \]

Thus, the simplified form is: \[ \boxed{15\sqrt{15}} \]