Change the radical to simplest radical form. $- \frac { 3 } { 16 } \sqrt { 20 }$
A) $- \frac { \sqrt { 5 } } { 8 }$
B) $- 3 \sqrt { 5 }$
C) $3 \sqrt { 5 }$
D) $- \frac { 3 \sqrt { 5 } } { 8 }$

Question

Quizplus · Accepted Answer

First, we simplify the radical using prime factorization:

\begin{align*}
-\frac{3}{16}\sqrt{20} &= -\frac{3}{16}\sqrt{2^2 \cdot 5} \
&= -\frac{3}{16}(2)\sqrt{5} \
&= -\frac{3}{8}\sqrt{5} \
&= -\frac{3\sqrt{5}}{8}
\end{align*}

Therefore, the answer is choice D.

Change the Radical to Simplest Radical Form −31620- \frac { 3 } { 16 } \sqrt { 20 }−163​20​

Change the Radical to Simplest Radical Form $- \frac { 3 } { 16 } \sqrt { 20 }$