Question

$\huge \mathcal \blue {Question♪ }$
For each of the following numbers, find the smallest number by which it should be divided so thag this quotient is a perfect square. Also find the square root of the square number so obtained:
1) 1872
2) 9408
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Answer 1

Answer:

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1872

So, 16244 should be divided by 31*131 = 4061 so as to get a quotient which a perfect square.

9408

To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408. Out of the prime factors of 9408, only 3 is without pair. So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

Answer 2

Answer:

1872

So, 16244 should be divided by 31*131 = 4061 so as to get a quotient which a perfect square.

9408

To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408. Out of the prime factors of 9408, only 3 is without pair. So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.