Question

prove that 5+7√3 is an irrational number​

Answer 1

Answer:

Rational number never contain 7√3

Answer 2

Answer:

hope it helps you

Step-by-step explanation:

let us assume 5+7√3 is rational

5+7√3=p/q

7√3=p/q-5

7√3=5p-5/q

√3=5p-5/q/7

√3=7(5p-5)/q

√3=35p-35/q

LHS is irrational whereas RHS is rational.

our assumption was wrong it is irrational.

hence proved