 Hi and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says express each of the complex number given in the exercises 1 to 10 in the form a plus iota b. Fourth part is 3 to 7 plus iota 7 plus iota into 7 plus iota 7. Before solving this question, let's first understand the addition of two complex numbers. z1 is equal to a plus iota b and z2 is equal to c plus iota b. So, for adding any two complex numbers, we will first add their real part and then their imaginary part. z1 plus z2 is defined as a plus c plus iota b plus d. So, for adding any two complex numbers, we will first add their real part and then their imaginary part. We will use this as a key idea to express the solution in the form a plus iota b. We will also use the fact that iota square is equal to minus 1. Let's now proceed on with our solution. Given complex number is 3 into 7 plus iota 7 plus iota into 7 plus iota 7. We have to express this expression in the form a plus iota b. So, let's first solve these two brackets. 3 into 7 is 21 plus 3 into iota 7 is iota 21 plus iota into 7 is iota 7 plus iota into iota 7 is iota square 7. And this is equal to 21 plus iota 21 plus iota 7 iota square is minus 1 minus 1 into 7 is minus 7. Now, we take the real and imaginary parts in separate brackets, applying the rule for addition of two complex numbers. So, we have 21 minus 7 plus iota into 21 plus 7 and this is equal to 14 plus 28 iota. So, we have expressed the given complex number in the form a plus iota b where a is equal to 14 and b is equal to 28. This is our required answer. Bye and take care. Hope you have enjoyed the session.