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Find the perfect square numbers between 30 and 50.
Since,
1 x 1 = 1 2 x 2 = 4
3 x 3 = 1 4 x 4 = 16
5 x 5 = 25 6 x 6 = 36
7 x 7 = 49 8 x 8 = 64
∴ Perfect squares between 30 adn 50 are 36 adn 49.
Find whether each of the following numbers is a perfect square or not?
(i) 121 (ii) 55 (iii) 81
(iv) 49 (v) 69
Do you think the reverse is also true, i.e. is the sum of any two consecutive positive integers is perfect square of a number? Give example to support your answer.
The difference between the squares of two consecutive natural numbers is equal to the sum of the two numbers.
Write the square, making use of the above pattern.
(i) 1111112 (ii) 11111112
Can you find the square of the following numbers using the above pattern?
(i) 66666672 (ii) 666666672
What will be the unit digit of the squares of the following numbers?
(i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796 (x) 55555
The following numbers are obviously not perfect squares. Give reason.
(i) 1057 (ii) 23453 (iii) 7928 (iv) 222222 (v) 64000 (vi) 89722 (vii) 222000 (viii) 505050
The squares of which of the following would be odd numbers?
(i) 431 (ii) 2826 (iii) 7779 (iv) 82004
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