The Value of √(15612+√154+√225) is

The Value of √(15612+√154+√225) is

1. 99
2. 110
3. 115
4. 125

Answer: (4) 125

Explanation:-

[15612 + {154 + (225)^1/2}^1/2]^1/2
= {15612  +(154 + 15)^1/2}^1/2
= {15612 + (169)^1/2}^1/2
= (15612 + 13)^1/2
= (15625)^1/2
= 125
Then, the value of [15612 + {154 + (225)^1/2}^1/2]^1/2  is 125.
Hence, the answer is (4) 125.

This Question is Asked in UP Lekhpal 2015

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