Simplify \(\frac{(\sqrt12-\sqrt3)}{(\sqrt12+\sqrt3)}\)
A
zero
B
\(\frac{1}{3}\)
C
\(\frac{3}{5}\)
D
1
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{(\sqrt{12}-\sqrt{3})}{(\sqrt{12}+\sqrt{3})}\)
= \(\frac{\sqrt{4\times 3} - \sqrt{3}}{\sqrt{4\times 3}+\sqrt{3}}\)
= \(\frac{2\sqrt{3}-\sqrt{3}}{2\sqrt{3}+\sqrt{3}}\)
= \(\frac{\sqrt{3}}{3\sqrt{3}}\)
= \(\frac{1}{3}\)
Source: Myschool Past Questions Archive (Record #8223)