MCQ
Simplify:
$\frac{\sqrt3+\sqrt2}{\sqrt3-\sqrt2}+\frac{\sqrt3-\sqrt2}{\sqrt3+\sqrt2}$
$\frac{\sqrt3+\sqrt2}{\sqrt3-\sqrt2}+\frac{\sqrt3-\sqrt2}{\sqrt3+\sqrt2}$
- A$4\sqrt6$
- ✓$10$
- C$2$
- D$\frac{4\sqrt6}{5}$
✓
Answer
Correct option: B.
$10$
$\frac{\sqrt3+\sqrt2}{\sqrt3-\sqrt2}+\frac{\sqrt3-\sqrt2}{\sqrt3+\sqrt2}$
$=\frac{\big(\sqrt3+\sqrt2\big)^2+\big(\sqrt3-\sqrt2\big)^2}{3-2}$
$=\frac{3+2+3+2}{1}=10$
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