Question

if p is a prime number and p divides k2 then p divides​

Answer 1

Answer:

2

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Answer 2

Answer:

If p is a prime no. nd p divides k² then p also divides k.

Explanation:

This can be explained with the help of an example:-

Assume p (prime no) = 3

Nd assume k² be a no divisible by 3,say, 18

Now

$\frac{ {k}^{2} }{p} = \frac{18}{3} = 6$

As we have said that if k² is divisible by p, k must also be divisible by p

So

$\frac{k}{p} = \frac{ \sqrt{18} }{3} = \frac{3 \sqrt{2} }{3} = \sqrt{2}$

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