Find the least numbers which must be subtracted from each of the follo

1.	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» 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.

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»

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.