Question

1. \\(sqrt{15x^2}\\)

Explanation:

Step1: Split the radical into factors

$\sqrt{15x^2} = \sqrt{15} \cdot \sqrt{x^2}$

Step2: Simplify $\sqrt{x^2}$

$\sqrt{x^2} = |x|$

Step3: Combine the simplified terms

$\sqrt{15} \cdot |x|$

Answer:

$|x|\sqrt{15}$