How To Square a number ? | Squaring Tricks | Square of a Number Ending with -5

There are plenty of methods to find squares of numbers. Here, we are going to discuss How to find square of a number ending with 5 ?

➤ Divide the result space into 2 parts as shown.

➤ In 2^nd part write square of 5 i.e. 25. 

➤ In first part write the product of remaining number with it's successor.

For Ex.  (65)²

^{Step 1 :-} As the given number ends with -5 we will write 25 in the 2^nd part.

^{Step 2 :-} In first part we will calculate product of remaining number (i.e. 6) with it’s successor (i.e. 7) which is 42

Final Result :-  4225.

For Ex.  (135)²

Step 1 :- As the given number ends with -5 we will write 25 in the 2^nd part.

^{Step 2 :-} In first part we will calculate product of remaining number (i.e. 13) with it’s successor (i.e. 14) which is 182.

 (We have learnt this in Basics of Multiplications | Multiplication Tricks | Multiplication of Two Consecutive Numbers ) 

Final Result :-  18225.

Problems For Practice.

1) (85)²

2) (55)²

3) (35)²

4) (75)²

5) (95)² 

6) (165)²

7) (225)²

8) (345)²

9) (415)²

10) (195)²