A) 300
B) \[300\sqrt{2}\]
C) \[200\sqrt{2}\]
D) None of these
Correct Answer: B
Solution :
We have \[\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+......\] \[=1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}+........\] = \[\sqrt{2}[1+2+3+4+..........\text{upto}\ 24\ \text{terms}]\] \[=\sqrt{2}\times \frac{24\times 25}{2}=300\sqrt{2}\].
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