Squaring Of Numbers Without Multiplication|Column Method|Diagonal Method

Multiplication by short cut methods

Method of cross multiplication

Method of multiplication of two determinants

Find the square of 87 by using column method and diagonal method.

Find the square of the following numbers without actual multiplication.(i) 39 (ii) 42

EXAMPLE 3 A magic square is an array of numbers having the same number of rows and columns and the sum of the numbers in a row column and the sum of the numbers in each row column or diagonal being the same.Fill in the blank cells of the following magic square.