Question

prove that 3-2√2 is irrational

Answer 1

Step - by- step explanation:

Let , us assume that 3- 2√2 is rational

Therefore, 3-2√2 = p/ q [ p and are the integers and q≠0]

=> 2√2= p/q-3

=> 2√2 = p - 3q / q

=> √2 = p - 3q / 2q

Since, √2 is in the form of a/ b.

Therefore, √2 is rational.

But we know that √2 is irrational .

Therefore, Our assumption that 3- 2√2 is rational is false .

Therefore , 3- 2√2 is irrational.

Proved