Question

prove that the following are irrational number is root 5​

Answer 1

Answer:

Gdg7x

Step-by-step explanation:

Jab,h,v,v

Answer 2

Answer:

root5 is irrational

Step-by-step explanation:

lets support that root 5 is rational

root 5=p/q(where p and q r co prime integers and q is not equal to 0)

squaring both side

(root 5)2 =(p/q)2

5=p2/q2

5q2=p2

q2=p2/5

so 5 divide p2, so 5 also divide p,so 5 is afactor of p

if 5 divide p

so, p=5c

so we can write 5c in place of p2

q2=(5c)2/5

q2=25c2/5

q2=5c2

q2/5=c2

so 5 also divide q2

so 5 is a factor of q

we said that 5 is factor of both p and q but we also said that p and q r co prime, so p and q both don,t have any common factor except 1.

contradiction occur,

so our supposition is wrong

therefore root 5 is irrational