Write true or false: The square of a prime number is always prime.
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Answer:
false
Step-by-step explanation:
We know that a prime number is one that is not divisible by any other, except by 1 and itself.
Given statement is false, because the square of a prime number, say a will be divisible by 1, a and, a
2
. Hence it has at least 3 divisor. Hence, it is not a prime number.
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