Question

prove that 7√13 is irrational​

Answer 1

Answer:

let us assume that 7root 13 is rational

so 7root 13 =a /b

root 13=a/7b

a/7b is rational

so root 13 is also rational

but this contradict the fact that root 13 is irrational

hence 7root13 is ireational

hope it helps you

Answer 2

Answer:

prooving that 7√13 is irrational

Step-by-step explanation:

By contradiction method

Let we can find two co-primes a and b.

Let us assume that 7√13 is rational.

such that 7√13=a/b

√13=a/b×7

For any value of a and b the RHS part will gives us a rational number. But LHS is an irrational they are not equal.So our assumption is not Correct.