Question

Prove that root5 is irrational.​

Answer 1

Step-by-step explanation:

Let take root 5 as rational

p/q= root 5

root 5 q= p

5q^2=p^2 1

q^2=p^2/5

5 divides p^2

5 divides p also

p=5c

p^2=25 c^2

q^2=25c^2

c^2=q^2/5

5 divides q^2

5 divides q also.

This contradiction has arisen due to our wrong assumption. p and q are coprimes

Therefore root 5 is irrational.

Thank You

Answer 2

Answer:-

√5 is a irrational number. Hence proved.

Explanation:-