Question

prove 6 root 2 is irrational

Answer 1

Answer:

$6 \sqrt{2}$

Root 2 is not a square of any number thus it is irrational

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Answer 2

Answer:

follow this

Step-by-step explanation:

Prove that the following are irrationals : 6^2 We have to prove 6^2 is irrational

Let us assume the opposite,

ie, 6√2 is rational

Hence, 6√2 can be written in the form where a and b (b# 0 ) are co-prime (no common factor other than

Hence, 6√2 = √2 =a/b

√2=1/6×a/b

√2 = a/6b

Irrational Rational

Here, is a rational number 6b But √2 is irrational Since, Rational ≠ Irrational

This is a contradiction :

Our assumption is incorrect

Hence 6√2 is irrational

Hence proved