Question

find the square of 96 using column method

Answer 1

Column Method : We can find the square of a number using the formula (a+b)^2 = a^2 + 2ab + b^2 For example, let us consider a number 98, Step 1 : Consider a = 9 and b = 8. From the formula, let us take a^2 as column 1, 2*a*b as column 2 and b^2 as column 3. Step 2 : Find the values of all the columns Column 1 = a^2 = 9*9 = 81 Column 2 = 2*a*b = 2*9*8 = 144 Column 3 = b*b = 8*8 = 64 Step 3 : Bold the unit digit of b^2, add its tens digit to column 2 value. b^2 = 64 2ab = 144 + 6 = 150. Step 4 : Bold the unit digit of 2ab, add its tens and other digit values to a^2. 2ab = 150 a^2 = 96 Step 5 : Bold the number in column 1. a^2 = 96 Step 6 : Append all the digits bolded, 9604