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.
No, it is not always true.
for example (i) 5 + 6 = 11, 11 is not a perfect square.
(ii) 21 + 22 = 43, 43 is not a perfect square.
What will be the number of zeros in the square of the following numbers?
(i) 60 (ii) 400
How many natural numbers lie between 92 and 102? Between 112 and 122?
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
Mock Test Series
