Advertisements
Advertisements
Question
Find the least number of 4 digits which is a perfect square.
Advertisements
Solution
The least number with four digits is 1000. To find the least square number with four digits, we must find the smallest number that must be added to 1000 in order to make a perfect square. For that, we have to find the square root of 1000 by the long division method as shown below:
1000 is 24 (124 − 100) less than the nearest square number 322. Thus, 24 must be added to 1000 to be a perfect square.
1000 + 24 = 1024
Hence, the smallest perfect square number with four digits is 1024.
RELATED QUESTIONS
What will be the unit digit of the square of the following number?
99880
The following number are obviously not perfect square. Give reason.
89722
The following number are obviously not perfect square. Give reason.
505050
A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.
Find the smallest number which must be added to 2300 so that it becomes a perfect square.
Without doing the actual addition, find the sum of:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
The number of zeros in the square of 91000 is 9
Which of the following will have 4 at the units place?
There are 200 natural numbers between 1002 and 1012.
A perfect square number has four digits, none of which is zero. The digits from left to right have values that are: even, even, odd, even. Find the number.
