 Hello and welcome to the session. In this session we discuss the following question which says evaluate square root of 619 upon 225. Before moving on to the solution let's recall that square root of A upon B where A and B are positive numbers is equal to square root of A upon square root of B. This is the key idea that we use in this question. Let's proceed with the solution. We need to find the square root of the number 619 upon 225. Now this is the mixed fraction. This is equal to 1369 upon 225. Now square root of 619 upon 225 would be equal to the square root of 1369 upon 225. Now using the key idea this can be written as square root of 1369 upon square root of 225. We find the square root of 1369 and 225 separately. First we find the square root of 1369 by a long division method. Now we make the pairs 3 times 9. We subtract this 9 from 13. We get 4. We take down this pair 69. Now we double this question. We get 6. We put a blank. 67 7 times is 469. We get 0 as the remainder. So now this question would be the square root of 1369. Thus we get square root of 1369 is equal to 37. Now in the same way we will find the square root of 225 by a long division method. We make pairs. Now 1 1 times is 1. We subtract this 1 from 2. We get 1. We take down this pair of digits that is 2 and 5 with 1. We double this question. We write 2 here with a blank. Now 25 5 times is 125. So we write 5 in this blank and 5 in the question also. So when we subtract this 125 from 125 we get 0 as the remainder. So this question is the square root of 225. Hence we say square root of 225 is equal to 15. Now square root of 1369 upon square root of 225 is equal to 37 upon 15. As we say our final answer is square root of 619 upon 225 is equal to 37 upon 15. Thus complete this session. Hope you have understood the solution for this question.