In a prime factorisation of a square number, each prime factor appears twice. true or false
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No. Consider that the square root of 14 is about 3.74 but 14 has 7 as a prime factor. Also consider that any prime number such as 2 is its own (only) prime factor, and any number greater than 1 is greater than its square root. The theorem you have stated is incorrect: 25 has no prime factor less than 5, and 3 has no prime factor less than 1.732; however, it is true that every composite number has a prime factor less than or equal to its square root.
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The sentence is the true.
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