Question

Find the smallest number that must be added to 525 to make it a perfect square. Also find the square root of the perfect square. by using long division method

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Answer 1

Answer:

4

Step-by-step explanation:

Because

$\sqrt{23 \times 23}$

23 × 23 = 529

529 - 525 = 4

Answer 2

Answer:

Since remainder is 41.

Therefore 22^2<525

Next perfect square number 23^2=529

Hence, number to be added

= 529 – 525 = 4

\therefore525+4=529

Hence, the square root of 529 is 23.

(ii) 1750

Since remainder is 69.

Therefore 41^2<1750

Next perfect square number 42^2=1764

Hence, number to be added

= 1764 – 1750 = 14

\therefore1750+14=1764

Hence, the square root of 1764 is 42

Step-by-step explanation: