If x and y are positive real numbers such that `x^(2)y^(3)=32` then the least value of `2x+3y` is

If x, y are positive real numbers, such that x^(2)+y^(2)=8 .Then the greatest value of x+y is

If x, y, z are positive real numbers such that x^(3)y^(2)z^(4)=7 , then the least value of 2x+5y+3z , is

If x, y, z are positive real numbers such that x^(3)y^(2)z^(4)=7 , then the least value of 2x+5y+3z , is

If x and y are positive real numbers such that x^3+8y^3+24xy=64 , then the value of 1/(x+2y) is

If x and y are positive real numbers such that x^3+8y^3+24xy=64 , then the value of 1/(x+2y) is

If x and y are two positive numbers such that x+y=32, then the maximum value of x^2+y^2 is ,

If x and y are two positive numbers such that x+y=32, then the minimum value of x^(2)+y^(2) is,

If x and y be two positive real numbers such that 4x^(2)+y^(2)=40 and xy=6 , then find the value od 2x+y .

If x, y are positive real numbers such that xy = 1 then show that the minimum value of x + y is 2.

If x and y be two positive real numbers such that xgt3y,x^(2)+9y^(2)=369 and xy=60 , then the value of x-3y is