Finding Square of two Digit Number
Concept: Calculations of Square’s up to 50th number
Prerequisite: Person should know squares till 25th number
How: Suppose a number N whose square need to be taken. Now Square will be calculated in 2 parts as mentioned.
| First Part | Second Part |
| = (Given number – 25)
⇒ (N-25) |
(50 -Given number)²
⇒ (50 – N)² |
Special Note: In case second part contains 3 digits then very first digit will be added to first part (Refer example 2 & 3).
Example 1: Suppose 43² =? so here N = 43
| How Initial Digits came. = (Given Number – 25) = (43-25) = 18 |
How last 2 Digits came
= (50 – Given number)² |
So Final Answer: 43² or (18) (49) ⇒ 1849
Example 2: Suppose 37² =? so here N = 37
| How Initial Digits came. = (Given Number – 25) = (37-25) = 12 |
How last 2 Digits came
= (50 – Given number)² |
Add first digit of Second part to first part as second part contains 3 digits
So first part digits = 12 + 1 ⇒ 13 and Last 2 digits will remain as = 69
So Final Answer for 37² = (13) (69) ⇒ 1369
Example 3: Suppose 31² =? so here N = 31
| How Initial Digits came. = (Given Number – 25) = (31-25) = 6 |
How last 2 Digits came = (50 – Given number)² |
Similar to 2nd example ⇒ Add first digit of Second part to first part as second part contains 3 digits
So first part = 6 + 3 ⇒ 9 and second part = 61
So Final Answer for 31² = (9) (61) or ⇒ 961
Try these Exercise: 33² , 41² , 47² , 29² , 46²