JAMB - Mathematics (2005 - No. 8)
Simplify \(\frac{(√12-√3)}{(√12+√3)}\)
zero
\(\frac{1}{3}\)
\(\frac{3}{5}\)
1
Spiegazione
\(\frac{(\sqrt{12}-\sqrt{3})}{(\sqrt{12}+\sqrt{3})}\)
= \(\frac{\sqrt{4\times 3} - \sqrt{3}}{\sqrt{4\times 3}+\sqrt{3}}\)
= \(\frac{2\sqrt{3}-\sqrt{3}}{2\sqrt{3}+\sqrt{3}}\)
= \(\frac{\sqrt{3}}{3\sqrt{3}}\)
= \(\frac{1}{3}\)