The sum of two numbers is 6 times their geometric means, show that numbers are in the ratio `(3+2sqrt(2)):(3-2sqrt(2))`.

The sum of two numbers is 6 xx their geometric means,show that numbers are in the ratio (3+2sqrt(2)):(3-2sqrt(2))

The sum of two numbers is 6 xx their goometric mean,show that numbers are in the ratio (3+2sqrt2):(3-2sqrrt2)

The LCM of two numbers is 210 and their ratio is 2:3 . The sum of these numbers is

If the A.M.of two positive numbers a and b(a>b) is twice their geometric mean.Prove that : a:b=(2+sqrt(3)):(2-sqrt(3))

If the AM of two positive numbers be three xx their geometric mean then the ratio of the numbers is

Three unequal numbers are in HP and their squares are in AP. Show that the numbers are in the ratio 1-sqrt3 :-2 : 1+sqrt3 and 1+sqrt3 :-2 : 1-sqrt3 .

Show that the following numbers are irrational.6+sqrt(2) (ii) 3-sqrt(5)