Exploring Squares and Square Roots in Class 8 Maths

The video tutorial explains the concept of squaring a number, relating it to the area of a square. It covers the squares of the first 20 natural numbers, emphasizing the importance of memorizing them for quick calculations. The video defines perfect squares and explores their properties, such as patterns in the last digits of squares. Special cases, like numbers ending in 5 or 0, are discussed, along with methods to identify perfect squares based on their last digits. The tutorial concludes by encouraging practice and further exploration of squares.

What is the square of a number?

• The sum of the number and itself

• The product of the number and itself

• The difference between the number and itself

• The division of the number by itself

What is the square of 4?

• 8

• 20

• 16

• 12

Which of the following is a perfect square?

• 25

• 35

• 20

• 30

If a number is a perfect square, what is the relationship between its divisor and quotient?

• Divisor is greater than the quotient

• Divisor is equal to the quotient

• Divisor is not related to the quotient

• Divisor is less than the quotient

What is the last digit of the square of a number ending in 3?

• 6

• 4

• 9

• 1

What is the last digit of the square of a number ending in 5?

• 5

• 1

• 0

• 9

How many zeros will the square of a number ending in 200 have?

• 5

• 4

• 3

• 2

What is the square of 10?

• 10000

• 1000

• 100

• 10

Which of the following numbers cannot be a perfect square?

• 1047

• 400

• 144

• 225

What can be concluded about the last digit of a perfect square?

• It must be an even number

• It can only be 2, 3, 7, or 8

• It can only be 0, 1, 4, 5, 6, or 9

• It can be any digit