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Which of √15-√14,√23-√22 is smaller

Question

Which of √15-√14,√23-√22 is smaller

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Solution

To determine which of √15-√14 and √23-√22 is smaller, we can compare the two expressions directly.

  1. Calculate √15-√14: √15 is approximately 3.87298 and √14 is approximately 3.74166. So, √15-√14 = 3.87298 - 3.74166 = 0.13132

  2. Calculate √23-√22: √23 is approximately 4.79583 and √22 is approximately 4.69042. So, √23-√22 = 4.79583 - 4.69042 = 0.10541

Comparing the two results, 0.13132 and 0.10541, we can see that √23-√22 is smaller than √15-√14.

This problem has been solved

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