WAEC - Further Mathematics (2007 - No. 7)
Simplify \(\frac{\sqrt{3}}{\sqrt{3} - 1} + \frac{\sqrt{3}}{\sqrt{3} +1}\)
\(\frac{1}{2}\)
\(\frac{1}{2}\sqrt{3}\)
\(3\)
\(2\sqrt{3}\)
Објашњење
\(\frac{\sqrt{3}}{\sqrt{3} - 1} + \frac{\sqrt{3}}{\sqrt{3} + 1}\)
= \(\frac{\sqrt{3}(\sqrt{3} + 1) + \sqrt{3}(\sqrt{3} - 1)}{(\sqrt{3} - 1)(\sqrt{3} + 1)}\)
= \(\frac{6}{3 - 1} \)
= 3