Question

Find the least number which must be subtracted from each of the following numbers
to make them a perfect square. Also find the square root of the perfect square number so obtained:
(ii)825
(iv)11021​

Answer 1

Answer:

825

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

Here, we get remainder 41. Therefore 41 must be subtracted from 825 to get a perfect square.

\therefore825-41=784∴825−41=784

Hence, the square root of 784 is 28.

Answer 2

Answer:

For 825

Nearest perfect square is 784

784 = 28

825 − 784 = 41

For 11021

We know that

By taking square root, 205 is left as remainder

Subtracting 205 from 11021

We get 11021−205=10816 which is a perfect square and its square root is 104.

Step-by-step explanation:

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