Question

prove that 2 + 3root7 is irrational

Answer 1

Step-by-step explanation:

let,

2+3√7 is a rational number

2+3√7=a/b :a,b are co-primes

3√7=a/b-3

3√7= a-3b/b

√7=a-3b/3b

therefore,

a-3b/3b is a rational

then,

√7 is a rational but, 2+3√7 is a irrational so, this statement contradict to 2+3√7 is rational number