Question

5. Prove that 2/√3
is irrational​

Answer 1

STEP 1 : PROVE √3 AS IRRATIONAL.

STEP 2 : PROVE 2/√3 AS IRRATIONAL.

PROOF.: LET 2/√3 BE RATIONAL , THEN

2/√3 = p/q , where p and q are integers .

so , √3 = 2q/p

since p and q are integers so √3 is rational.

but we know that √3 is irrational.

This contradiction has arisen becoz of our incorrect assumption the 2/√3 is rational.

so we conclude that 2/√3 is irrational

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Answer 2

Answer:

See mate

2 is rational number and root 3 is irrational

Then

Theorem Says that if a rational and irrational are divided then rest will be irrational

So here

They are divided,,

So, they are irrational....