Any number can be represented as the addition of two numbers. For example
32 can be written as 30 + 2. 46 can be written as 40 + 6. 116 can be written as
110 + 6.
The Steps are
• Split
• Use Formula
• Add
a) What is the Square of 116?
Split = 110 + 6
Formula = (a + b)2 = a2 + b2 + 2ab = 12100 + 36 + 1320
Addition = 13456
The concept is Simple Multiplication and Simple Addition saves your time.
b) What is the Square of 1004?
Split = 1000 + 4
Apply Formula = 1000000 + 16 + 8000 = 1008016
(If you use traditional method, finding the square of 1004 will take a minimum
of 40 seconds. By this method, you just saved 25 seconds again )
c) What is the Square of 605?
Here you can two methods. The unit number is 5. Always go for the easy
method.
Answer = (60 x 61)25 = (60 (60 + 1))25 = 366025
Practice Problems
Find the Square of
1. 713 2. 819
3. 1009 4. 1520
