The arithmetic and geometric mean of two positive numbers are 8 and `4 sqrt3` respectively. Find these numbers.

If A.M. and G.M. of two positive numbers a and b are 10 and 8, respectively, find the numbers.

Find geometric mean of numbers 5 and 125.

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of p is

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of q is

Insert 3 geometric mean between 4 and 64.

The sum of the squares of two positive numbers is 233 and one number is 3 less than twice the other number. Find the numbers.

The sum of two numbers is 10 and their quotient is 2/3 . Find the numbers

Let A_1 , G_1, H_1 denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For n >2, let A_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_n, G_N, H_N, respectively.

Let A_1 , G_1, H_1 denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For n >2, let A_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_n, G_N, H_N, respectively.

Let A_1 , G_1, H_1 denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For n >2, let A_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_n, G_N, H_N, respectively.