If the arithmetic and geometric means of a and b be Aand G respectively, then the value of A-G will be:
(a-b)2
(a+b)2
(a-b)22
2ab(a+b)
Explanation for the correct option.
Let a and b be the numbers,Then AM, A=(a+b)2G.M,G=abA-G=(a+b)2-ab=a+b-2ab2=(a-b)22=(a-b)22Hence, option C is correct.
If the arithmetic and geometric means of a and b be A and G respectively, then the value of A - G will be