 Welcome to the session. In this session we will discuss the question which says that express the following in the form a plus b iota 2 plus root 7 iota the whole into 2 minus root 7 iota whole square plus 4 plus root iota whole cube. Now we will start with the equation. Now given 2 plus root 7 iota the whole into 2 minus root 7 iota whole square plus 4 plus 3 iota whole cube and we have to express this in the form a plus b iota. Now this is equal to 2 plus root 7 iota the whole into 2 minus root 7 iota the whole into 2 minus root 7 iota the whole 4 plus 3 iota whole cube. Now here we will multiply these two. We will apply the formula into a minus b the whole which is equal to a square. Now here this is a and this has been equal to minus root 7 iota whole square the whole into through 7 iota the whole cube. Further this will be equal to 4 minus 7 iota square the whole into 2 minus root 7 iota the whole. Now here we will apply the formula of a plus b whole cube equal to a cube plus 3 a square b plus 3 a b square plus b cube. Now this is a here and this is b so this will be whole cube 3 into 4 square into 3 iota plus root into 3 iota whole square 3 iota. Now this will be equal to 4 minus 7 into iota square which is equal to minus 1 the whole into 2 minus root 7 iota plus 4 cube is 64 plus 3 into 4 square which is 16 into 3 will give 3 into 4 into will be equal to 3 into 4 into 9 that is iota square 3 cube is 27 equal to the whole into 2 minus root 7 iota the whole whole iota plus 108 into iota square is minus 1 plus 27 into iota cube and iota cube can be written as iota square into iota. Now this is equal to 11 into 2 minus root 7 iota the whole plus 134 iota minus 108 plus 27 into iota square is minus 1 into iota. Now this is equal to 11 into 2 minus root 7 iota the whole here 64 minus 108 will be minus 44 plus 144 iota it will be minus 27 iota. Now this will be equal to 22 minus 11 root 7 iota minus 24 plus 144 iota minus 27 iota is 117 iota. Now 22 minus 44 is equal to minus 22 and here is minus 11 root 7 iota plus 117 iota and this is equal to minus 22 plus 117 minus 11 root 7 the whole into iota. So this is the required answer which is in the form of a plus b iota where a is minus 22 and b is 117 minus 11 root 7. So this is the solution of the given question and that's all for this session hope you all have enjoyed the session.