Question

find the least number that has to be added to each of the following to make them a perfect square.also find the square root of the perfect square so obtained a)3450 b)1835 c)7895 d)54725​

Answer 1

Step-by-step explanation:

Solution:

(i) 525

Since remainder is 41.

Therefore 22^2<52522

2

<525

Next perfect square number 23^2=52923

2

=529

Hence, number to be added

= 529 – 525 = 4

\therefore525+4=529∴525+4=529

Hence, the square root of 529 is 23.

(ii) 1750

Since remainder is 69.

Therefore 41^2<175041

2

<1750

Next perfect square number 42^2=176442

2

=1764

Hence, number to be added

= 1764 – 1750 = 14

\therefore1750+14=1764∴1750+14=1764

Hence, the square root of 1764 is 42