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.
APPEARS IN
RELATED QUESTIONS
What will be the unit digit of the square of the given number?
3853
What will be the unit digit of the square of the following number?
99880
The following number are obviously not perfect square. Give reason.
23453
The square of which of the following number would be an odd number?
731
The square of which of the following number would be an odd number?
3456
The cost of levelling and turfing a square lawn at Rs 2.50 per m2 is Rs 13322.50. Find the cost of fencing it at Rs 5 per metre.
Find the smallest number which must be added to 2300 so that it becomes a perfect square.
Evaluate: 372 – 362
The units digit in the square of 1294 is ______.
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.
