 and welcome to the session. Let us discuss the following question. The question says, if A and G be Earth-matter me, and geometric me respectively between two positive numbers, proof that the numbers are A plus minus, square root of A plus G into A minus G. Let's now begin with the solution. Let A and B be two positive numbers. It is given in the question that A is the Earth-matter me between these two positive numbers. So this means A plus B by 2 is equal to A, since A is the Earth-matter me. It is also given in the question that G is the geometric me between these two positive numbers. So this means square root of A B is equal to G, minus G square. Now A square minus G square is equal to A plus B by 2 whole square minus square root of A B whole square. Now this is equal to plus B square plus 2 A B and this is equal to A square plus B square A B minus 4 A B plus B square root on both sides. We get between two positive numbers, then these positive numbers plus G into G.