Question

How to find the greatest 4 digit number which is a perfect square and its square root?

Answer 1

Greatest number of four digits =9999=9999Let us find the square root of 99999999This shows that 992992 is less than 99999999 by 198198So, the least number to be subtracted is 198198Hence , the required number is (9999−198)(9999−198)=9801

Answer 2

firstly take the largest 4 digit number which is 9999. then use the long division method of finding square root, then subtract the quotient by 9999 , then the number which u will get is the perfect square. then find its root by either prime factorisation or long division.