Question

17. If p
is a positive prime
integer, then square root of p is​

Answer 1

Answer:

it will be irrational number

Answer 2

P=$a^2/b^2$

$b^2 p$=$a^2$

i.e p divides $a^2$

i.e p divides a

Let a=pc

$b^2 p$=$(pc)^2$

$b^2=pc^2$

i.e p divides $b^2$

i.e p divides b

p divides a and p divides b

Both a and b are coprime

so √p is irrational