Question

Find the least number which must be added to 42873 make it a perfect square

Answer 1

Answer:

-24

Step-by-step explanation:

42873 being a 5 digit number.

20^2 = 400 and 21^2 = 441. So, 200^2 = 40000 and 210^2 = 44100.

40000 < 42873 < 44100.

Thus it limits to only 8 numbers between 202 and 209. The nearest perfect square to 42873 is 208^2 = 43264.

So, subtract 43264–42873 = 391. The closest possible perfect square lesser than 207^2 = 42849. So -24 could be added to 42873 as well.