Question

Find the least numbers which must be subtracted from each of the following numbers so as to get perfect squares and also find the square roots of the perfect squares. i) 365 ii) 850 iii) 3142 iv) 1850 v) 4230​

Answer 1

Step-by-step explanation:

Solution:

(i) 402

We know that, if we subtract the remainder from the number, we get a perfect square.

Here, we get the remainder 2. Therefore 2 must be subtracted from 402 to get a perfect square.

\therefore402-2=400∴402−2=400

Hence, the square root of 400 is 20.