Question 3
Evaluate
$$\frac1{2+\sqrt2}+\frac1{3\sqrt2+2\sqrt3}+\frac1{4\sqrt3+3\sqrt4}+\cdots+\frac1{100\sqrt{99}+99\sqrt{100}}.$$
$$\frac1{2+\sqrt2}+\frac1{3\sqrt2+2\sqrt3}+\frac1{4\sqrt3+3\sqrt4}+\cdots+\frac1{100\sqrt{99}+99\sqrt{100}}.$$
SEAMO 2027 - Paper D - SET 05 - Self-study Question 3
SEAMO · SEAMO 2027 - Paper D - SET 05 - Self-study