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?
799
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 given number?
55555
The following number are obviously not perfect square. Give reason.
23453
Find the greatest number of three digits which is a perfect square.
Find the smallest number which must be added to 2300 so that it becomes a perfect square.
Write three sets of Pythagorean triplets such that each set has numbers less than 30.
The number of perfect square numbers between 300 and 500 is ______
225 square shaped mosaic tiles, area 1 square decimeter exactly cover a square shaped verandah. How long is each side of the square shaped verandah?
There are 200 natural numbers between 1002 and 1012.
