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Squares & Square Roots Class 8 PPT

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 Page 1


Square and Square
Square and Square
roots
roots
C l a s s - 8
Page 2


Square and Square
Square and Square
roots
roots
C l a s s - 8
Introduction to Square Numbers
A natural number n is a square number if it can be
expressed as n², where n is also a natural number.
Examples include 1, 4, 9, 16, and 25.
Page 3


Square and Square
Square and Square
roots
roots
C l a s s - 8
Introduction to Square Numbers
A natural number n is a square number if it can be
expressed as n², where n is also a natural number.
Examples include 1, 4, 9, 16, and 25.
Introduction to Square Numbers
A natural number n is a square
number if it can be expressed
as n², where n is also a natural
number.
Examples include 1, 4, 9, 16, and
25.
Page 4


Square and Square
Square and Square
roots
roots
C l a s s - 8
Introduction to Square Numbers
A natural number n is a square number if it can be
expressed as n², where n is also a natural number.
Examples include 1, 4, 9, 16, and 25.
Introduction to Square Numbers
A natural number n is a square
number if it can be expressed
as n², where n is also a natural
number.
Examples include 1, 4, 9, 16, and
25.
Finding the Square of a Number
The square of a number n is
given as n×n = n².
Example: The square of 5 is
equal to 5×5 = 25.
Page 5


Square and Square
Square and Square
roots
roots
C l a s s - 8
Introduction to Square Numbers
A natural number n is a square number if it can be
expressed as n², where n is also a natural number.
Examples include 1, 4, 9, 16, and 25.
Introduction to Square Numbers
A natural number n is a square
number if it can be expressed
as n², where n is also a natural
number.
Examples include 1, 4, 9, 16, and
25.
Finding the Square of a Number
The square of a number n is
given as n×n = n².
Example: The square of 5 is
equal to 5×5 = 25.
Properties of Square Numbers
If a number has 0, 1, 4, 5, 6, or 9 in the unit's place, it may or
may not be a square number.
If a number has 2, 3, 7, or 8 in its unit place, it is not a square
number.
If a number has 1 or 9 in the unit's place, its square ends in 1.
If a square number ends in 6, the number whose square it is
will have either 4 or 6 in the unit's place.
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FAQs on Squares & Square Roots Class 8 PPT

1. What is a square number?
Ans. A square number is a number that can be obtained by multiplying an integer by itself. For example, 4 is a square number because it can be obtained by multiplying 2 by 2 (2 x 2 = 4).
2. How do you find the square of a number?
Ans. To find the square of a number, you multiply the number by itself. For example, to find the square of 5, you would multiply 5 by 5 (5 x 5 = 25).
3. What is a square root?
Ans. A square root is the inverse operation of finding a square. It is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5 because 5 multiplied by itself equals 25 (5 x 5 = 25).
4. How do you find the square root of a number?
Ans. To find the square root of a number, you can use a calculator or use methods like prime factorization or estimation. For example, to find the square root of 36, you can use a calculator or recognize that 36 is a perfect square, so the square root is 6.
5. Can negative numbers have square roots?
Ans. Yes, negative numbers can have square roots. However, the square root of a negative number is not a real number. It is called an imaginary number and is denoted by the letter "i". For example, the square root of -9 is 3i, where "i" represents the imaginary unit.
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