Question

WHAT IS THE VALUE OF THE EXPRESSION (7 + ROOT 3) (7 - ROOT 3) - (5 + ROOT 2) (5 - ROOT 2)

Answer 1

$$\begin{gathered} \left(7+\sqrt{3}\right)\left(7-\sqrt{3}\right)-\left(5+\sqrt{2}\right)\left(5-\sqrt{2}\right) \\ =\left[{\left(7\right)}^2-{\left(\sqrt{3}\right)}^2\right]-\left[{\left(5\right)}^2-{\left(\sqrt{2}\right)}^2\right] \\ =\left(49-3\right)\left(25-2\right) \\ =46\times 23 \\ =1058 \end{gathered}$$