Multiple choice

What approximate value will come in place of question mark (?) in the question given below? $(74^2 + 81^2 = ?^2)$

  1. 85

  2. 95

  3. 110

  4. 120

  5. 125
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

74^2 + 81^2 = 5476 + 6561 = 12037. The square root of 12037 is approximately 109.7, which rounds to 110. Alternatively, 74^2 + 81^2 ≈ 75^2 + 80^2 = 5625 + 6400 = 12025, and √12025 ≈ 110. The key is recognizing that 110^2 = 12100 is very close to 12037.

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