Question

Find the least number which must be subtracted from 789 so as to get a perfect square. Also find out the square root of the perfect square so obtained.​

Answer 1

Answer:

Find the least number which must be subtracted from 789 so as to get a perfect square. Also find out the square root of the perfect square so obtained.

Answer 2

Step-by-step explanation:

(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.

Here, we get the remainder 1. Therefore 1 must be subtracted from 3250 to get a perfect square.

\therefore3250-1=3249∴3250−1=3249

Hence, the square root of 3249 is 57.

(ii) 1989

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

Here, we get the remainder 53. Therefore 53must be subtracted from 1989 to get a perfect square.

\therefore1989-53=1936∴1989−53=1936

Hence, the square root of 1936 is 44.

(iii) 3250

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