Sanmati Higher Secondary School

2014-2015

MATHS PROJECT

Guided by; Aarti Agrawal Mam

Squares And Square Root

INDEX1.Properties of squares and square rootwith examples.2. List of first 40 square numbers.

Properties of spuares

and square roots

And Table.

PropertiesOf

Squares

1. The square number have 0,1,,4,5,6or 9 in thejr ones place.

2. A natural number having 2,3,7or 8 in its ones place will never be a perfect square.

3.The square of a number that ends in 5 and the square of a number also ends in 0 also ends in 0. For example, 5^2=25;15^2=225and 10^2=100 and20^2=400.

4.When a numberhas 1 or 9 in its ones place , its square will end in 1. For example, 1^2=1,11^2=121 and 9^=81,19^2=361.

5. The square of an even number is an even number.

6.The square of an ood number is also an odd number.

7. When we add 2 triangular numbers we get a square number. For example, 1+3=4; 3+6=9; 6+10=16.

8. Every square number is either multiple of 3 or is greater than a multiple of 3 by 1. For example, 2^2=4=3+1=4; 3^2=9; 4^2=16=3*5+1=16; 5^2=25=3*8+1.

Square of first 40 numbersPerfect Square

Factors

1 1 * 1

4 2 * 2

9 3 * 3

16 4 * 4

25 5 * 5

36 6 * 6

49 7 * 7

64 8 * 8

81 9 * 9

100 10 * 10

121 11 * 11

144 12 * 12

169 13 * 13

196 14 * 14

225 15 * 15

256 16 * 16

289 17 * 17

324 18 * 18

361 19 * 19

400 20 * 20

441 21 * 21

484 22 * 22

529 23 * 23

576 24 * 24

625 25 * 25

676 26 * 26

729 27 * 27

784 28 * 28

841 29 * 29

900 30 * 30

961 31 * 31

1024 32 * 32

1089 33 * 33

1156 34 * 34

1225 35 * 35

1296 36 * 36

1369 37 * 37

1444 38 * 38

1521 39 * 39

1600 40 * 40

Made by; Anekant Jain