If x<y<z then what must be true about the square roots of x,y, and z?

my answer was : If the square root of 25 is 5^2 then you can tell that 6^2 will be greater than 5^2.





my teacher said it was wrong








whats the right answer??If x%26lt;y%26lt;z then what must be true about the square roots of x,y, and z?
It is true if all of them are positive





If 0%26lt; x %26lt; y %26lt; z





Then square root preserve the inequality.If x%26lt;y%26lt;z then what must be true about the square roots of x,y, and z?
square root of 25 is either 5 or -5 and what you are saying is square root of 25-5^2 which is wrong. More over the relation if x%26lt;y%26lt;z than the relation between Sqr x,y ,z will be maintained only if x,y and z are positive integers.
|x^(1/2)| %26lt; |y^(1/2)| %26lt; |z^(1/2)|





Thank you absolute values for keeping it positive. This is going to be true for all real numbers.





Goodluck! :D
|srtx|%26lt;|srty|%26lt;|srtz|


where | | is the mod of the value


ie for a B%26gt;=0, |B| = B


and for B%26lt;0, |B| = -B


so |B| is always a +ve value
but rmb the square root of 25 is both + 5 and -5
sqrt x %26lt; sqrt y %26lt; sqrt z


Is this what she wants?

curly hair