Squaring | Quicker Maths

21Jun/108

Shortcut to Find Square of a Number

Today I will discuss a very simple method of finding square of numbers between 26 to 74 mentally. In the subsequent post we will cover higher numbers. So keep watching this space to learn squaring any number within your mind

Square (also called perfect square) is an integer that is the square of an integer; in other words, it is the product of some integer with itself. So, for example, 9 is a square number, since it can be written as 3 × 3.

How to find the square of any number?

To apply this method you should know squares of 1 to 25 by heart. You can refer to this table to learn the same.

10Jul/090

Squaring number ending in five : Vedic Maths Trick

This is the most common, yet very interesting trick of Vedic Maths. Using this technique you can find the square of any number ending in 5 very easily. Given below is the step by step explanation of this Vedic Maths Method

Let us take a 2 digit number,

Say the number is a5 (=10a+5), where is the digit in ten's place

Square of a5= a x (a+1) | 25

For example,

45² = (40 + 5) ², It is of the form (10a+b)² for a = 4

Giving the answer a (a+1) | 25 ( | stands for concatenation}

i.e. 4 x (4+1) | 25 = 4 x 5 | 25 = 2025

Similarly we can proceed for 3 digit numbers ending in 5

Few more examples:

95²= 9 x 10 | 25 = 9025

125² = 12 x 13 | 25 = 15625

505² = 50 x 51 | 25 = 255025

Test yourself

Find out the square of 85, 245, 145, 35, 15, and 95?

Answer: 7225, 60025, 21025, 1225, 225, 9025

Please let us know if you like this Vedic Maths trick

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Shortcut to Find Square of a Number

Squaring number ending in five : Vedic Maths Trick

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