\((ix)\)\(\quad\)\(\sqrt{75}+\sqrt{27}=\) :
Option B : \(8\sqrt{3}\)
Explanation:
\[
\begin{align*}
&=\sqrt{75} +\sqrt{27}\\
&=\ \sqrt{5^{2} \times 3} +\sqrt{3^{2} \times 3}\\
&=5\sqrt{3} +3\sqrt{3}\\
&=8\sqrt{3}\\
\end{align*}
\]
\((ix)\)\(\quad\)\(\sqrt{75}+\sqrt{27}=\) :
Option B : \(8\sqrt{3}\)
Explanation:
\[
\begin{align*}
&=\sqrt{75} +\sqrt{27}\\
&=\ \sqrt{5^{2} \times 3} +\sqrt{3^{2} \times 3}\\
&=5\sqrt{3} +3\sqrt{3}\\
&=8\sqrt{3}\\
\end{align*}
\]