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Question

If the square of a number ends with 10 zeroes, how many zeroes will the number have ?

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Solution

We know that if a number ends with n zeros

Then its square will have 2n zeroes

Conversely, if square of a number have 2n zeros at their ends then the number will have n zeroes

The square of a number ends 10 zeroes, then the number will have 102=5 zeroes


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