If x,y,z be three positive prime numbers. The progression in which `sqrt(x),sqrt(y),sqrt(z)` can be three terms (not necessarily consecutive) is

Let x,y,z be three positive prime numbers. The progression in which sqrt( x) , sqrt( y ) , sqrt( z) can be three terms ( not necessarily consecutive ) is :

The numbers 1,4,16 can be three terms ( not necessarily consecutive ) of :

Prove that the numbers sqrt2,sqrt3,sqrt5 cannot be three terms (not necessarily consecutive) of an AP.

The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of

The number 1, 5 and 25 can be three terms (not necessarily consecutive) of

If x,y,z are positive real numbers, prove that: sqrt(x^-1 y).sqrt(y^-1z).sqrt(z^(-1)x)=1

If x,y,z are positive real numbers show that: sqrt(x^(-1)y)*sqrt(y^(-1)z)*sqrt(z^(-1)x)=1

If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(y^(-1)z)dotsqrt(z^(-1)x)=1

If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(y^(-1)z)dotsqrt(z^(-1)x)=1