SOLUTION: If sq. root of x + sq. root of y is equal to sq. root of 45 and x and y are positive Integers, then find the value of sq.root of x+y.

Algebra ->  Square-cubic-other-roots -> SOLUTION: If sq. root of x + sq. root of y is equal to sq. root of 45 and x and y are positive Integers, then find the value of sq.root of x+y.      Log On


   



Question 1168729: If sq. root of x + sq. root of y is equal to sq. root of 45 and x and y are positive Integers, then find the value of sq.root of x+y.
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

From  sqrt%28x%29 + sqrt%28y%29 = sqrt%2845%29,  you have  (by squaring both sides)


      x     + y    + 2*sqrt%28xy%29 = 45.

 

It has two solutions



    1)  x= 20,  y= 5


    2)  x= 5,   y= 20