The sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio `(3+2sqrt2):(3-2sqrt2)`.

The sum of two numbers is 6 times their G.M. show that numbers are in the ratio 3+2sqrt2: 3-2sqrt2 .

If the harmonic mean between two positive numbers is to their geometric mean as 12: 13. then the numbers are in the ratio

If three unequel numbers are in HP and their squares are in AP, show that they are in the ratio 1+sqrt(3):-2:1-sqrt(3) " or " 1-sqrt(3):-2:1+sqrt(3) .

Represent geometrically the following numbers on the number line sqrt2.3

The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G^2=27. Find two numbers.

Examine, whether the following numbers are rational or irrational: (sqrt3+sqrt2)^2

Represent geometrically the following numbers on the number line sqrt5.6

Show that 3-sqrt2 is irrational.

Show that 3sqrt2 is irrational.