Determined the value of $$\frac{1}{{\sqrt 1 + \sqrt 2 }}{\text{ + }}$$ $$\frac

Question

Determined the value of $$\frac{1}{{\sqrt 1 + \sqrt 2 }}{\text{ + }}$$ $$\frac{1}{{\sqrt 2 + \sqrt 3 }}\, + $$ $$\frac{1}{{\sqrt 3 + \sqrt 4 }}\, + $$ $$...... + $$ $$\frac{1}{{\sqrt {120} + \sqrt {121} }}{\text{ = ?}}$$

Options:

A . 8

B . 10

C . $$\sqrt {120} $$

D . $$12\sqrt 2 $$

Answer: Option B

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