Question

Find the smallest whole number which must be:
a) Added to 500
b) Subtracted from 500
to get a perfect square. Also find the square root of the perfect
square so obtained.
ii)Find the smallest whole number by which 500 must be
a) Multiplied
b) Divided
so as to get a perfect square. Also find the square root of the
square number so obtained
2) Q4. Simplify the following.
(i)

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.

(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.

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.

same process in question ❓⁉️