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Question

Find the smallest number by which 235445 must be divided so that it becomes a perfect square also find the square root of the perfect square so obtained

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Solution

Factorise 235445
235445 = 5 x 47089 = 5x7 x 6727= 5x7x7x961 = 5x7x7x31x31
So if we divide 235445 by 5 we will get 7x7x31x31 which a perfect square of 7x31= 217.
Answer : 5

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