Let’s look at the square of numbers from 1 to 50

 Number Square root 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12 169 13 196 14 225 15 256 16 289 17 324 18 361 19 400 20 441 21 484 22 529 23 576 24 625 25 900 30 1225 35 1600 40 2025 45 2500 50

Let’s see some pattern in it, and find properties of square root

Example:

As 1 = 1

& 9 = 81

∴ √81 = 9

√1 = 1

Example :

As 4 = 16

& 6 = 36

∴ √16 =  4

√36 =  6

Example :

As 5 = 25

& 15 = 225

∴ √25 =  5

√225 = 1 5

## its square root will have half of it

Example :

10 = 100

200 2 =40000

So, ## it is not a perfect square

Example :

2422, 373, 918, 27 are not perfect square.

So, their square root will be in decimals

## it is not a perfect square

Example :

24000, 10, 2500000 do not have a square root

So, their square root will be in decimals

Example :

Odd

√1=1

√9= 3

√81=9

Even

√4=2

√16= 4

√100= 10

## To summarize

• Unit digit of square roots have this property
 One’s digit of Number One’s digit of Square Root 1 1 or 9 6 4 or 6 5 5 Even number of zeroes Half of it
• Square root of even number is even, odd number is odd
• A number is not a perfect square, if it ends with 2, 3, 7, 8 or if it has odd number of zeroes

## Square root of Negative number is not possible

√(-9)  is not possible

1. Chapter 6 Class 8 Squares and Square Roots
2. Concept wise
3. Square root

Square root 