how to find square roots of a number such as..14

Answer 1

sq root of 14 lies between 3 and 4 because 3 squared is 9 and 4 squared is 16 and 14 lies between those two perfect squares.

14 is closer to 16 than it is to 9, so hazard a guess: 3.7

3.7 x 3.7 = 13.69

3.8 x 3.8 = 14.44

Closer to 3.7

Hazard a guess: 3.74

3.74 x 3.74 = 13.9876

3.75 x 3.75 = 14.0625

Closer to 3.74.

Etc.