Question

prove that the 6+√2 is irrational ​

Answer 1

Answer:

Let us assume that 6 + √2 is a rational number. This shows (a-6b)/b is a rational number. But we know that √2 is an irrational number, it is contradictsour to our assumption. Our assumption 6 + √2 is a rational number is incorrect.

Step-by-step explanation:

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Answer 2

Answer:

Let us assume 6+

2

is rational. Then it can be expressed in the form

q

p

, where p and q are co-prime

Then, 6+

2

=

q

p

2

=

q

p

−6

2

=

q

p−6q

-----(p,q,−6 are integers)

q

p−6q

is rational

But,

2

is irrational.

This contradiction is due to our incorrect assumption that 6+

2

is rational

Hence, 6+

2

is irrational