Answer:
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
