Question

if n is a prime number then √n is.......​

Answer 1

Answer:

if n is a prime number

therefore,

√n is an irrational number

Answer 2

Answer:

√n is irrational number

Step-by-step explanation:

We all know that prime numbers are not perfect squares because All square numbers have an odd number of factors.

1 has the factor 1

4 has the factors 1 , 2 , 4

9 has the factors 1, 3 , 9

16 has the factors 1 , 2 , 4 , 8 , 16
x2 has the factors 1 , x , x2

A prime number by definition has exactly 2

factors -

1 and itself.

Therefore no prime number is a square and no square number is prime. and are also not divisible by any other number than itself. Clearly, as n is prime.

So, √n is irrational.

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