The square root of a certain number is approximately 9.2371

The square root of a certain number is approximately 9.2371. The certain number is between what 2 integers?

  1. 3 and 4
  2. 4 and 5
  3. 9 and 10
  4. 18 and 19
  5. 81 and 99

Answer

The correct answer is E.

Let x represent the certain number so that

√x = 9.2371

After squaring both sides of the equation

x = (9.2371)2

Now,

92 < x < 9.52

81 < x < 90.25

And 90.25 < 99.

So x is between 81 and 99.