Question

Prove that 3 + 2V5 is irrational.​

Answer 1

Answer:

let 3+2V5 is a rational numbers.

we can write as

3+2V5=a\b. (a &b are co_prime .)

2V5=a\b-3

2V5=a-3b\b

V5=a-3b\2b

a=1&b=3

hence as we know that V5 is a rational3+2V5is an irrational number numbers. But a-3b\2b is a rational numbers. therefore