If √(1 + √(1 − 2176/2401)) = 1 + x/7, then the value of x is :यदि √(1 + √(1 − 2176/2401)) = 1 + x/7 हो, तो x का मान है :
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Correct answer: A. 1
Explanation
1 − 2176/2401 = 225/2401, whose root is 15/49. Then 1 + 15/49 = 64/49, whose root is 8/7 = 1 + 1/7. So x/7 = 1/7 and x = 1.1 − 2176/2401 = 225/2401, जिसका वर्गमूल 15/49 है। तब 1 + 15/49 = 64/49, जिसका वर्गमूल 8/7 = 1 + 1/7 है। अतः x/7 = 1/7 और x = 1।More Mathematics & Numerical Ability questions
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