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| 1. |
Explain why a number of the form 4q+2, can never a perfect square |
| Answer» No number of the form 4q + 2 is a perfect square because,If q is a prime factor of aperfect square, then q^2 must also be the factor of a perfect square.4q + 2 = 2 (2q + 2), here 2 is a factor of (2q + 2), but 2^2 = 4 is not the factor of (4q + 2) as (4q + 2) = 2(2q + 1), which is odd and we know that all the odd numbers are not divisible by 2.So, we can say that 4q + 2 is not divisible by 4Hence, 4q + 2 is not a perfect\xa0 | |