[" easy करों- "],[[" (i) "sqrt(x^(-1)*y)*sqrt(y^(-1)*z)*sqrt(z^(-1)*x)]]

Prove that sqrt(x^(-1)y)xxsqrt(y^(-1)z)xxsqrt(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

If x ,y ,z are positive real number, then show that sqrt((x^(-1)y) x sqrt((y^(-1)z) x sqrt((z^(-1)x) =1

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

Show : sqrt( x^-1y) times sqrt( y^-1z ) times sqrt( z^-1x) = 1

Assuming that x , y , z are positive real numbers, simplify each of the following: (i) (sqrt(x))^(-2/3)\ \ sqrt(y^4)\ -:\ sqrt(x y^(-1/2))

If sin^(-1) x + sin^(-1) y + sin^(-1) z = pi" , prove that " x sqrt(1-x^(2) ) + y sqrt(1 - y^(2)) + zsqrt( 1 - z^(2)) = 2 xyz .