Q6 of 119 Page 42

Find the largest number of 3 digits which is a perfect square.

At first,

The largest 3 digit number = 999

Now,

The number whose square is 999 is 31.61 (approx.)

Hence,

The square of any number greater than 31.61 would be a 4-digit number.

Therefore,

The square of 31 will be the greatest 3 digit perfect square.

We can calculate the largest 3 digit perfect square number as:

31² = 31 × 31

= 961

By what least number should the given number be divided to get a perfect square number? In each case, find the number whose square is the new number.

(i) 1575 (ii) 9075

(iii) 4851 (iv) 3380

(v) 4500 (vi) 7776

(vii) 8820 (viii) 4056

Find the largest number of 2 digits which is a perfect square.

Give reason to show that none of the numbers given below is a perfect square:

(i) 5372 (v) 360

(ii) 5963 (vi) 64000

(iii) 8457 (vii) 2500000

(iv) 9468

Which of the following are squares of even numbers?

(i) 196 (ii) 441 (iii) 900 (v) 324

(iv) 625