Question

$$( \sqrt{ 3 } +6)( \sqrt{ 3 } -6)$$

Answer

-33

Solution


Use Difference of Squares: \({a}^{2}-{b}^{2}=(a+b)(a-b)\).
\[{\sqrt{3}}^{2}-{6}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[3-{6}^{2}\]
Simplify  \({6}^{2}\)  to  \(36\).
\[3-36\]
Simplify.
\[-33\]