If root x + root y = root 45 and x and y are positive integers, then find the value of root x + y.

x = 5

y = 20

sqrt (x + y) = sqrt (25) = 5

Step-by-step explanation:

I think this is one of those things where you think you've been tricked and when you see the answer, you know you have.

The root of 45 = root (5 * 3 * 3) = 3sqrt (5)

Now you need to find some way of making x and y come to 3 sqrt (45)

How about this? sqrt (5) + sqrt (20)

square root 5 = 1 * sqrt (5)

square root 20 = sqrt (2 * 2 * 5) = 2 sqrt (5)

x = sqrt (5)

y = 2*sqrt (5)

1sqrt (5) + 2 sqrt (5) = 3 sqrt (5) which is the same thing as sqrt (45)

It gets worse with part 2

sqrt (x + y) = sqrt (5 + 20) = sqrt (25) = 5