Question

Prove that 4 - 3rot2 is an irrational.​

Answer 1

Answer:

let 4-3√2be rational and it is written in the simplest form a/b where a and b are integers and they are coprimes

4-3√2=a/b

-3√2=a-4b/b

√2=a-4b/-3b

rational is not equal to irrational

hence our assumption is wrong

since 4-3rot2 is an irrational