Prove the following as irrational number 4-3√2 and with process plz

1.	Prove the following as irrational number 4-3√2 and with process plz help
Answer» ONG>Answer: Let us assume the contrary, that 4− 3 is rational. That is, we can FIND co-prime a and b (b  =0) such that 4− 3 = b a . Therefore 4− b a = 3 . Rearranging this equation, we get 3 =4− b a = b 4b−a Since a and b are integers, we get b 4b−a is rational, and so 3 is rational. But this CONTRADICTS the fact that 3 is IRRATIONAL, This contradicts the fact that 3 is irrational. This contradiction has arisen because of our incorrect ASSUMPTION that 4- 3 is rational. so, we conclude that 4− 3 is irrational

Prove the following as irrational number 4-3√2 and with process plz help

Answer» ONG>Answer:

Let us assume the contrary, that 4−

is rational.

That is, we can FIND co-prime a and b (b



=0) such that 4−

Therefore 4−

Rearranging this equation, we get

=4−

4b−a

Since a and b are integers, we get

4b−a

is rational, and so

is rational.

But this CONTRADICTS the fact that

is IRRATIONAL,

This contradicts the fact that

is irrational.

This contradiction has arisen because of our incorrect ASSUMPTION that 4-

is rational.

so, we conclude that 4−

is irrational

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Prove the following as irrational number 4-3√2 and with process plz help​

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Prove the following as irrational number 4-3√2 and with process plz help