Question

Let k is an positive integer. If 5 divides k2 then 5 also divides wit(a) k3 (b) k (c) k4 (d) none of these

Answer 1

Given : 5 divides  k²   , k is an positive integer

To find :  5 also divides with

Solution:

k is an positive integer

5 divides  k²  

=>  k²   = 5a     a is an integer

k³ = k²*k

= 5a * k

= 5 (ak)

Hence  5 divides   k³

k⁴ = k²*k²

= 5a * 5a

= 5 (5a²)

Hence  5 divides   k⁴

5 divides  k²    and 5 is prime number

Hence k = 5a

So  5 divides k

5 Divides k , k³ & k⁴   if  5 divides k²  where  k is an positive integer

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Answer 2

Step-by-step explanation:

5 divides k . option 2 . hope it helps