Find the least number which must be subtracted from the following numbers to make them a perfect square:
Find the least number which must be subtracted from the following numbers to make them a perfect square:
(i) 2361
(ii) 194491
(iii) 26535
(iv) 16160
(v) 4401624
(i) Using the long division method:
We can see that 2361 is 57 more than 472. Hence, 57 must be subtracted from 2361 to get a perfect square.
(ii) Using the long division method:
We can see that 194491 is 10 more than 4412. Hence, 10 must be subtracted from 194491 to get a perfect square.
(iii) Using the long division method:
We can see that 26535 is 291 more than 1622. Hence, 291 must be subtracted from 26535 to get a perfect square.
(iv) Using the long division method:
We can see that 16160 is 31 more than 1272. Hence, 31 must be subtracted from 16160 to get a perfect square.
(v) Using the long division method:
We can be see that 4401624 is 20 more than 20982. Hence, 20 must be subtracted from 4401624 to get a perfect square.