Question 6 (iii)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

396

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Solution

$396 = 2 \times 2 \times 3 \times 3 \times 11$

Here, prime factor 11 has no pair. Therefore, 396

must be divided by 11 to make it a perfect square.

$396 \div 11 = 36$
And $\sqrt{36} = 2 \times 3 = 6$

$\begin{matrix} 2 & 396 2 & 198 3 & 99 3 & 33 11 & 11 1 \end{matrix}$

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Question 6 (vi)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

1620

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.

(i) $252$ (ii) $2925$ (iii) $396$ (iv) $2645$ (v) $2800$ (vi) $1620$

Q. For number find the smallest whole number by which it should be divided so as to get a perfect square Also find the square root of the square number so obtained
(i) 252

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square number. Also, find the square root of the square number obtained.

(i)