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True. By definition, a Prime number is divisible by one and by itself. Also by definition, a perfect square has at least an additional pair of factors - it's square root. Therefore a prime number could never be a perfect square.
One exception that might come to mind in this case is the number one. One however, is not considered a prime number, and thus does not conflict with this rule.
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Earn +20 ptsQ: No prime number can be a perfect square True or false?
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Continue Learning about Basic Math
Can a prime number be a perfect square?
No.
Will the square root of a prime number be rational or irrational?
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
Is a prime number cannot be a perfect square?
That is correct.
Which outcome is least likely to occur on a single spin 1 an odd number 2 a prime number 3 a perfect square 4 a number divisible by 2?
a perfect square
What is the sum of the fifth prime number the sixth composite number and the third perfect square?
11 + 12 + 9 = 32
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