SOLUTION: The expression (Sqrt of x + Sqrt of y)^2 is not equal to x+y for every nonnegative x and y. 1. Why is this? 2. How do I find a value of x and y for which this is true, that is

Question 146301: The expression (Sqrt of x + Sqrt of y)^2 is not equal to x+y for every nonnegative x and y.
1. Why is this?
2. How do I find a value of x and y for which this is true, that is (sqrt of x + sqrt of y)^2 = x + y. (Also, what is this value?)
Thank you for your time and help with this question, I hope it is clear enough to understand.)
This question is not from a text book, it is from a worksheet.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
1. (sqrt(x)+sqrt(y))^2=x+2sqrt(x)sqrt(y)+y so it only equals x+y when 2sqrt(x)sqrt(y)=0
2. it will only equal 0 when x and y both equal 0.
.
Ed
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