Question

Find the smallest whole number by which 2645must be divided so as to get a perfect square also find the square of the quotient so obtained

Answer 1

Answer:

The smallest whole number by which 2645 must be divided so as to get a perfect square is 5 which gives 529 as a perfect square and the square of the quotient which is 529 is 279841.

Answer 2

Answer:

Do prime factorisation of 2645

You get

2645=5×23×23

Here 5 is not making pair so we will divide 2645 by 5 to make it a perfect square.

2645/5 = 23×23×(5/5)

529= 23×23×1

529= 23 square

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