\((ix)\) The product of \((3+\sqrt{5})\)\((3-\sqrt{5})\) is:
Option B : Rational Number
Explanation:
\[
\begin{align*}
&=\left( 3+\sqrt{5}\right)\left( 3-\sqrt{5}\right)\\
&=3^{2} -\left(\sqrt{5}\right)^{2}\\
&=9-5\\
&=4\\
\end{align*}
\]
\((ix)\) The product of \((3+\sqrt{5})\)\((3-\sqrt{5})\) is:
Option B : Rational Number
Explanation:
\[
\begin{align*}
&=\left( 3+\sqrt{5}\right)\left( 3-\sqrt{5}\right)\\
&=3^{2} -\left(\sqrt{5}\right)^{2}\\
&=9-5\\
&=4\\
\end{align*}
\]