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The value of 217+50+196\sqrt{217+\sqrt{50+\sqrt{196 }} } 217+50+196​​​ is:
Question

The value of 217+50+196\sqrt{217+\sqrt{50+\sqrt{196 }} } is:

A.

14

B.

15

C.

25

D.

64

Correct option is B

SOLUTION:
217+50+196 =217+50+14 =217+8 =15\sqrt{217+\sqrt{50+\sqrt{196 }}} \\ \ \\ = \sqrt{217+ \sqrt{50+14}} \\ \ \\ = \sqrt{217 + 8} \\ \ \\ = 15​​

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