 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says, show that the statement for any real numbers a and b a square equals to b square implies that a is equal to b is not true by giving a counter example. So to solve this question we shall apply the concept of counter examples which is used to disprove the statement. In this method we shall give an example of a situation where the statement is not valid that means we will give an example to counter the given statement. So this is the method of counter examples which is also the key idea for the given question. So let us start with the solution to this question. Now we are given that a square equals to b square implies that a is equal to b for real numbers a and b. Now we see that a square equals to b square implies that a is equal to plus minus b. This implies a equals to b or a is equal to minus b. Therefore for any real numbers a and b, a square equals to b square implies that a is equal to b is not fully true as a can be equal to minus b also. Hence a is equal to minus b is a counter example. So this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.