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3. Squares and Square Roots
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Q5 of 114 Page 3

Find the least number of 4 digits which is a perfect square.

We know that,

Least 4 digit number = 1000



The remainder is 39


Therefore,


(31)2 < 1000


Hence,


The next perfect square number is:


(32)2 = 1024 > 1000


Hence, 1024 is the required number


More from this chapter

All 114 →
3

Find the least number which must be added to the following numbers to make them a perfect square:

(i) 5607


(ii)4931


(iii) 4515600


(iv) 37460


(v) 506900

4

Find the greatest number of 5 digits which is a perfect square.

6

Find the least number of six digits which is a perfect square.

7

Find the greatest number of 4 digits which is a perfect square.

Questions · 114
3. Squares and Square Roots
1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
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