A number ending in odd number of zero in never a perfect square
Answers
Step-by-step explanation:
A number ending in an odd number of zeros is never a perfect square. For example: The numbers 160, 4000, 900000 end in one zero, three zeros and five zeros respectively. So, none of them is a perfect square.
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True !
A number ending with an odd number of zeroes can not be a perfect square.
If you present a perfect square as a product of prime numbers, each prime factor has to be in an even power. An odd number of zeroes means that factors 2 and 5 are in an odd power. You can make the exponent of 5 even by multiplying the number by 5. But what about power of 2. If you multiply the number by 2 after multiplying it by 5, you multiply it by 10 which means that you multiplied the number by 10. This makes the number of zeroes at the end even.