Question

Find the least number to be added to get a perfect square: 6200

Answer 1

R.E.F image

Q.Find the least number to be added to get

a perfect square $6200$

$so{l}^n$ First we find square root of 6200 by division method.

$49<62<64$

$142\times 2=284$

$145\times 5=725$

$146\times 6=876$

$147\times 7=1029$

$148\times 8=1184$

$149\times 9=1341>1300$

Hence. $(78{)}^2<6200<(79{)}^2$

Since remainder is not zero; 6200 is not a perfect square number,

We calculate $=(79{)}^2-6200=6241-6200=41$

So the least number to be added is $41$, we get

$6200+41=6241=(79{)}^2$ a perfect square.