Question

the value of the square root of 17 is between 4.1 and 4.2. Which of the following is a more precise approximation of the square root of 17?

between 4.12 and 4.13
between 4.13 and 4.14
between 4.1 and 4.11
between 4.14 and 4.15

Answer 1

my calculator says its 4.123....but this question belongs to which topic ?

Answer 2

yes, 4.1230

Answer 3

It's high/low square root algorithm...

Answer 4

between 4.12 and 4.13

Answer 5

To find the square root of 20, first note that 42 is 16, and that 52 is 25. As 16 < 20 < 25, the square root of 20 must be between 4 and 5. Guessing 4.5 yields 20.25 and is too high. The next step is to guess 4.4, yielding 19.36 and is too low. Therefore, as before, the square root of 20 must be in between 4.4 and 4.5. This pattern is continued until the desired number of decimal places is achieved.