Question

Show that 3root2-2root2 is an irrational number

Answer 1

Answer:

look below

Step-by-step explanation:

let 3√2 - 2√2 be rational

∴ 3√2 - 2√2 = p/q

(3 - 2)√2 = p/q

1 * √2 = p/q

∴ √2 = p/q

but √2 is irrational

∴ we come to a contradiction

∴ our assumption was wrong

∴ 3√2 - 2√2 is irrational

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