 Hello and welcome to the session. In this session we discussed the following question which says find the values of a and b in the following. 2 minus root 6 upon 2 plus root 6 is equal to a minus b root 6. Let's move on to the solution. We are given 2 minus root 6 upon 2 plus root 6 is equal to a minus b root 6 and we need to find the values for a and b. First we consider 2 minus root 6 upon 2 plus root 6. Now we rationalize its denominator. So for this we multiply its numerator and denominator by 2 minus root 6. So this would be further equal to 2 minus root 6 whole square upon 2 plus root 6 into 2 minus root 6. Now we apply the identities in the numerator and denominator. In numerator we would apply the identity of a minus b whole square. We have a minus b whole square is equal to a square minus 2ab plus b square. So we apply this identity in the numerator. This would give us 2 square minus 2 into 2 into root 6 plus root 6 whole square. This total upon 2 plus root 6 into 2 minus root 6. In this we apply the identity a square minus b square which is equal to a plus b into a minus b. So in the denominator we would have 2 square minus root 6 square. This becomes further equal to 4 minus 4 root 6 plus 6 upon 4 minus 6. That is we have this is equal to 10 minus 4 root 6 upon minus 2 which is further equal to 10 upon minus 2 minus 4 root 6 upon minus 2. That is we get this is equal to minus 5 plus 2 root 6. Now we were given 2 minus root 6 upon 2 plus root 6 is equal to a minus b root 6. So this would mean minus 5 plus 2 root 6 is equal to a minus b root 6. Since we have found the value for this as minus 5 plus 2 root 6. So this would mean a is equal to minus 5 and minus b is equal to 2 or we can say a is equal to minus 5 and b is equal to minus 2. So we have got the values for a and b. So final answer is a equal to minus 5 and b equal to minus 2. So this completes the session. Hope you have understood the solution for this question.