This pptx show some information about square and square root.

1. TOPIC:- SQUARES AND SQUARE
ROOT

2. CONTENTS
 Squares
 Square root

3. SQUARES
 The number you get when you multiply an
integer by itself.
Example: 4 × 4 = 16, so 16 is a square number.
 Some Squares number are :-
0 (=0×0)
1 (=1×1)
4 (=2×2)
9 (=3×3)
16 (=4×4)
25 (=5×5

4. PERFECT SQUARE:-
 A perfect square is any integer whose square
root is also an integer.
Example :-
4, 9, 100 , etc.

5. PROPERTES OF SQUARES:-
 A number ending with 2,3,7 and 8 can never be a
perfect square.
 The number of zeros at the end of perfect squares is
always even.
Example:- √10000 = 1002
 Squares of even numbers are even and odd are odd.

6.  For any two consecutive natural number n
and (n+1) we have,
(n+1)2 – n2 = (n+1+n)(n+1-n) = (n+1) + n
 For any number n greater than 1 , the
Pythagorean triplet is given by (2n,n2-1,n2+1)

7. SQUARE ROOT
 The square root of a number is a value
that, when multiplied by itself, gives the
number.
Example: 4 × 4 = 16, so the square root of 16 is
4.
The symbol is √
Another example: √36 = 6 (because 6 x 6 = 36)

8. METHOD TO FIND SQUARE ROOT
 Division method
 Prime factorization method
 Repeated subtraction

9. Division method
 This describes a "long hand" or manual
method of calculating or extracting square
roots. Calculation of a square root by hand is
a little like long-hand division.

10. Prime factorization method
 According to this method we express the
given number as the product of prime factors.
Example :-
√4=2*2=2

11. Repeated subtraction
 Every perfect square number can be
expressed as a sum of successive odd
natural numbers starting from 1.
Example :- √9=9-1=8
=8-3=5
=5-5=0
So ,square root is 3.

12. Properties of Square root
 If the unit digit of a number is 2,3,7,and8 it
does not a have square root.
 If a number ends in an odd number of zeros
then it does not have a square root in N.
 The square root of even is even and odd is
odd.

13. BY:-
NEELABH SHUKLA
Class-8th A
ROLL NO. - 25