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

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

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 .