 # Find the least number which must be subtracted from the following numbers to make them a perfect square: `
Question:

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

Solution:

(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.