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​211600+40048000\sqrt{\frac{\sqrt{211600} + \sqrt{400}}{48000}}48000211600​+400​​​​equals:
Question

211600+40048000\sqrt{\frac{\sqrt{211600} + \sqrt{400}}{48000}}​equals:

A.

14\frac{1}{4}​​

B.

110\frac{1}{10}​​

C.

112\frac{1}{12}​​

D.

148\frac{1}{48}​​

Correct option is B

Given:

211600+40048000\sqrt{\frac{\sqrt{211600} + \sqrt{400}}{48000}}​​

Solution:

211600+40048000\sqrt{\frac{\sqrt{211600} + \sqrt{400}}{48000}}​​

460+2048000\sqrt{\frac{460 + 20}{48000}}​​

48048000\sqrt{\frac{480}{48000}}​​

1100\sqrt{\frac{1}{100}}​​

=110= \frac{1}{10}​​

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