1.

It the A.M., is thrice the G.M. of two positive numbers . Show that numbers are in the ratio (3 pm 3 sqrt(2))/(3 - 2 sqrt(2))

Answer»

Solution :` (a + b)/(2sqrt(AB)) = 3`
Using componendo and DIVIDENDO,
` rArr((SQRT(a) + sqrt(b))^(2))/((sqrt(a) - sqrt(b))^(2)) = 2 `


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