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Example 5: Is 90 a perfect square? |
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Answer» The prime factorization of 90 is 2*3*3*5. Whenever you multiply a number by itself, you double the number of times a factor appears. For example, 6=2*3 and 6^2=(2*3)^2=2*3*2*3. This means that every prime factor in a perfect square has to appear an even number of times. Since the 2 and 5 factor appear an odd number of times in 90, it can't be a perfect square. |
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