Question

prove that 3 root 5 is irrational ​

Answer 1

Answer:

Step-by-step explanation:

let us suppose 3+root 5 is rational.

=>3+root 5 is in the form of p/q where p and q are integers and q is not =0

=>root5=p/q-3

​=>root 5=p-3q/q

as p, q and 3 are integers p-3q/3 is a rational number.

=>root 5 is a rational number.

but we know that root 5 is an irrational number.

this is an contradiction.

this contradiction has arisen because of our wrong assumption that 3+root 5 is a rational number.

hence 3+ root 5 is an irrational number.

i hope that can helpfull

Answer 2

Answer:3*root 5 is irrational no. because it can not be represented in the form of p/q where q= not 0 and p and q are integers