When the numbers are large, even the method of finding square root by prime factorisation becomes lengthy and difficult. To overcome this problem we use Long Division Method.
For this we need to determine the number of digits in the square root. See the following table:
|100||which is the smallest 3-digit perfect square|
|31||961||which is the greatest 3-digit perfect square|
|32||1024||which is the smallest 4-digit perfect square|
|99||9801||which is the greatest 4-digit perfect square|
The number of digits in the square root if a perfect square is a 3-digit or a 4-digit number.
If a perfect square is a 3-digit or a 4-digit number, then its square root will have 2-digits.
The smallest 3-digit perfect square number is 100 which is the square of 10 and the greatest 3-digit perfect square number is 961 which is the square of 31. The smallest 4-digit square number is 1024 which is the square of 32 and the greatest 4-digit number is 9801 which is the square of 99.
Find the least number which must be subtracted from the following numbers to make them a perfect square:
Write the possible unit's digits of the square root of the following numbers\. Which of these number is odd square root?
A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.