Question

prove that 4-3 root2 is irrational if it is given that root 2 is an irrational number​

Answer 1

Answer:

Prove that 4-3✓2 is irrational

So we can write 4-3√2 as a/b where a and b are co primes and b is not equal to 0. ... Here √2 is an irrational number. But a-4b/-3b or -a-4b/3b is rational number. Therefore it is a contradiction to our assumption that 4-3√2 is rational number

Answer 2

Answer:

See the picture above.. Hope it will help you.