If two positive numbers are in the ratio of 3+22:3-22, then the ratio between their AM and GM is
6:1
3:2
2:1
3:1
Explanation for the correct answer:
Find the ratio between their AM and GM:
Let a and b be two numbers, then a:b=3+22:3–22
AM=(a+b)2=((3+22)x+(3–22)x)2=6x2=3x
GM=(ab)=(3+22)x(3–22)x=(9-8)x2=x
AM:GM=3:1
Hence, the correct option is D.