Question

show that there does not exist a rational number s such that s²=6​

Answer 1

which is a contradiction, because the left-hand side is even, and the right-hand side is odd. Therefore q must be even, and gcd(p,q)≠1. Hence, there is no rational number whose square is 6.

take s in the place of r in the image

Answer 2

Answer:

s

${s}^{2} = 6 \\ s = \sqrt{6}$

so there it is clear that there is not any rational no. which can exist as p/q in form here p,q€ I and q does not equal to zero