Question

Explain why an number of the form 4q+2 can never be a perfect square

Answer 1

No number of the form 4q + 2 is a perfect square because,

If q is a prime factor of a perfect 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 4

Hence, 4q + 2 is not a perfect square.

 

Answer 2

Answer:

Step-by-step explanation is given below.... hope it help u all....study The Concept i mean undestand IT....okay....