To find the square root of 52 without a calculator, As you know 7^2 = 49 and 8^2 = 64 so you know the answer is somewhere between the two. I computed 7.5^2 and I got 56.25 (too large) Then I computed 7.25^2 and I got 52.26 (small but getting closer) I computed 7.24^2 which equals 52.41 ( a little bit closer) I computed 7.23^2 which equals 52.27 (a little closer) I computed 7.22^2 which equals 52.13 (closer) I computed 7.21^2 which equals 51.98 close enough!
