 Hello and welcome to the session. In this session we discuss the following question which says find the greatest number of five digits which is a perfect square, find the square root of the number so obtained. Let's move on to the solution. Now the greatest number of five digits is 99999. Now this number is not a perfect square. We now find out the square root of the number 99999. We make pairs of the digits. Now 3 3 times is 9. We subtract this 9 from this 9 we get 0. Take down this pair 99. Double this digit of the quotient that is 6 put a blank. In this blank we put the digit 1 since 61 1 times is 61 and this is less than 99. We subtract 61 from 99 we get 38. Now take down this pair 99 with 38 double this quotient we get 62 put a blank. Now in this blank we can put the digit 6 since 626 6 times give us 3756 which is less than 3899. We subtract this number from 3899 we get 143. Now we subtract this remainder 143 from the number 99999 we get 99856. This number 99856 so obtained is a perfect square. Now we find out the square root of 99856. We make pairs. Now 3 3 times is 9. We take down this pair 98. Double this quotient we get 6. We put 1 in this blank since 61 1 times is 61. We subtract 61 from 98. We get 37. Take down this pair 56 along with 37. Double this quotient 31 we get 62 with a blank. Now 6 26 6 times is 3756 and we get the remainder as 0. So this quotient gives us the square root of the number 99856. Hence we have square root of 99856 is equal to 316. Hence our final answer is the greatest number of 5 digits which is a perfect square is 99856 and square root of 99856 is 316. So this completes the session. Hope you have understood the solution for this question.