Question

The value of the multiplication $(6+\sqrt{6})(6-\sqrt{6})$ is equal to:

• A. $12$
• B. $32$
• C. $-34$
• D. $30$

Answer 1

The correct option is D $30$

$(6+\sqrt{6})(6-\sqrt{6})$
$=6\times (6-\sqrt{6})+\sqrt{6}\times (6-\sqrt{6})$ (Distribution property)
$=6\times 6-6\sqrt{6}+6\sqrt{6}-\sqrt{6}\times \sqrt{6}$ (Distribution property)
$=36-6$
$=30$.
Therefore, option $D$ is correct.