The Pythagorean theorem Part 2 describe how you would estimate the square root of a number that is not a perfect square without using a calculator
To estimate the square root of a number that is not a perfect square without using a calculator, you can use the Pythagorean theorem. First, find two perfect squares that are close to the number you are trying to find the square root of. Then, subtract the smaller perfect square from the larger perfect square. This will give you the difference between the two perfect squares. Next, divide the number you are trying to find the square root of by the difference between the two perfect squares. This will give you an estimate of the square root of the number. Finally, add the smaller perfect square to the result of the division to get an estimate of the square root of the number.
Ok, let's play the bot's game, suppose I want √150
-- First, find two perfect squares that are close to the number you are trying to find the square root of. ----- 144 and 169
-- Then, subtract the smaller perfect square from the larger perfect square.
169-144= 25
-- Next, divide the number you are trying to find the square root of by the difference between the two perfect squares --- 150/25 = 6
-- This will give you an estimate of the square root of the number-- REALLY?
-- Finally, add the smaller perfect square to the result of the division to get an estimate of the square root of the number --- 144+6 = 150
??????????
Sounds like a lot of gobble-de-goop. Where does Pythagoras enter
the picture ??