Slide 1 : welcome IN POWERPOINT PRESENTATION
Slide 2 : TOPIC SQUARES AND SQUARE ROOTS
Slide 3 : PRESENTED BY H. P. PATEL
TGT MATHS,
JNV AMARKANTAK
CONTENTS : CONTENTS SQUARES.
PERFECT SQUARES.
FACTS ABOUT SQUARES.
SOME METHODS TO FINDING SQUARES.
SOME IMPORTANT PATTERNS.
PYTHAGOREAN TRIPLET.
SQUARES : SQUARES If a whole number is multiplied by itself, the product is called the square of that number.
For Examples: 1 x 1 = 1 = 12
The square of 1 is 1.
2 x 2 = 4 = 22
The square of 2 is 4 2 2 1 1
3 x 3 = 9 = 324 x 4 = 16 = 42 : 3 x 3 = 9 = 324 x 4 = 16 = 42 3 3 4 4
PERFECT SQUARE : PERFECT SQUARE A natural number ‘x’ is a perfect square, if y2 = x where ‘y’ is natural number. Examples :
16 = 42
25 = 52
FACTS ABOUT SQUARES : FACTS ABOUT SQUARES A number ending with 2, 3, 7 or 8 is never a perfect square.
The squares of even numbers are even.
The squares of odd numbers are odd.
A number ending in an odd number of zeros is never a perfect square.
Slide 9 :