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8 Without using a calculator, find an irrational number between
(a) 4 and 5 .
9 Without using a calculator, estimate

88 Without using a calculator, find an irrational number between\newline(a) 44 and 55 .\newline99 Without using a calculator, estimate

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Q. 88 Without using a calculator, find an irrational number between\newline(a) 44 and 55 .\newline99 Without using a calculator, estimate
  1. Find Square Root: We know that the square root of 1616 is 44 and the square root of 2525 is 55. So we need to find a number between 1616 and 2525 whose square root is irrational.
  2. Identify Number Between: The number 1717 is between 1616 and 2525, and its square root cannot be expressed as a fraction, making it an irrational number.
  3. Determine Irrationality: So, the square root of 1717, which is written as 17\sqrt{17}, is an irrational number between 44 and 55.

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