Question

For 1008 find the smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number so obtained​

Answer 1

Step-by-step explanation:

$1008 = {2}^{4} \times {3}^{2} \times 7 \\ so \: we \: should \: multiply \: by \: 7 \: to \: get \: a \: perfect \: square. \\ then \: square \: root \: = {2}^{2} \times 3 \times 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 84$

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Answer 2

The smallest whole number is 7, by which 1008 should be multiplied so as to get a perfect square.

steps are above in picture