Find all the natural numbers x & y

Question

√x + √y = √1980

Answer 1

sqrt (1980)= sqrt(55*36)= 6 sqrt (55)

So we have sqrt 55 and 5 sqrt 55 or 55 and 1375 (since sqrt 55 +5 sqrt 55= 6 sqrt 55)

2 sqrt 55 and 4 sqrt 55 or 220 and 880

3 sqrt 55 and 3 sqrt 55 or 495 and 495