How do you learn square rooting? - Answers

Th84.64ree methods;- use the surd sign on a calculator e.g. (sqrt) / 4 = +/- 2 Use a rather complex arithmetica system of long division. Use a time consuming but simpler method. e.g. sqrt(90) To answer We know sqrt(81) = 9 Sqrt(100) = 10 Since '90' is between 81 and 100 , then the square root is between '9' & '10' Then by trial and error 9.1^(2) = 82.81 too small 9.2^(2) = 84.64 too small 9.3^(2) = 86.49 too small 9.4^(2) = 88.36 too small 9.5^(2) = 90.25 too big So we need a decimal number between 9.4 & 9.5 say 9,45 9.45^(2) = 89.3025 too small 9.46^(2) = 89.4916 too small et. seq. The acutal value is sqrt(90) = 9.486832981.... In Surd form sqrt(90) = sqrt(10 x 9) = sqrt(10) X sqrt(9) = sqrt(10) x 3 or 3 sqrt(2) sqrt(5) Since '2' & '5' are prime numbers, their respective square roots are Irrational Numbers.