root x + y = 7 and x + root y = 11. Find x and y?

Here the sum of and y is 7. So, x has to be a positive number as square root of negative no. is not permissible.

 

Similarly, y has to be a positive number as square root of negative no. is not permissible.

 

Also, x and y have to be perfect squares as the sums in question are natural no. ( 7 & 11 )

 

The perfect squares less than or equal to 11 are 1, 4, 9.

 

By Hit and Trial method,

  let x = 9 , y = 4

 

Hence the solution is  x =  9 , y = 4