sqrt (125p^2) A) 2psqrt (3) B) 2sqrt (5p) 3psqrt (3) D) 5psqrt (5) D B

To simplify the expression $\sqrt{125p^2}$, we can break it down into simpler components.<br /><br />First, let's factorize 125 as $5^2 \cdot 5$.<br /><br />So, $\sqrt{125p^2} = \sqrt{5^2 \cdot 5 \cdot p^2}$.<br /><br />Now, we can separate the square root into two parts: $\sqrt{5^2} \cdot \sqrt{5 \cdot p^2}$.<br /><br />Since $\sqrt{5^2} = 5$ and $\sqrt{p^2} = p$, we can simplify further:<br /><br />$5 \cdot \sqrt{5 \cdot p^2} = 5 \cdot p \cdot \sqrt{5}$.<br /><br />Therefore, the simplified form of $\sqrt{125p^2}$ is $5p\sqrt{5}$.<br /><br />So, the correct answer is D) $5p\sqrt{5}$.