Question

Find the consecutive perfect squares between which the following numbers lie: 56789

Answer 1

R.E.F image

To find the consecutive perfect squares

between which the following number lie: 56789

first we find the square root of 56789 by

division method. (Ref. image)

$43\times 3=129$

$44\times 4=176$

$45\times 5=225$

$466\times 6=2796$

$467\times 7=3269$

$468\times 8=3744$

$469\times 9=4221$

Thus $(238{)}^2<56789<(239{)}^2$

hence the consecutive perfect squares are 238 and 239.