Question

$$( \sqrt{ 8 } + \sqrt{ 12 } )( \sqrt{ 8 } - \sqrt{ 12 } )$$

Answer

(2*sqrt(2)+2*sqrt(3))*(2*sqrt(2)-2*sqrt(3))

Solution


Simplify  \(\sqrt{8}\)  to  \(2\sqrt{2}\).
\[(2\sqrt{2}+\sqrt{12})(2\sqrt{2}-\sqrt{12})\]
Simplify  \(\sqrt{12}\)  to  \(2\sqrt{3}\).
\[(2\sqrt{2}+2\sqrt{3})(2\sqrt{2}-2\sqrt{3})\]