Q5 of 119 Page 42

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

Let us take the first 3-digit number

First 3-digit number = 100


Now,


We know that,


100 is a perfect square.


And,


Its square root is 10.


Now,


The number before 10 is 9.


Square of 9 = 81


Hence,


The largest 2-digit number which is a perfect square is 81.


More from this chapter

All 119 →
3

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

(i) 3675 (ii) 2156


(iii) 3332 (iv) 2925


(v) 9075 (vi) 7623


(vii) 3380 (viii) 2475

 4

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

 6

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

 1

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