Question

prove that :1 - 2√3 is irreational.​

Answer 1

Step-by-step explanation:

(It would be given that √3 is irrational)

It is given that,√3 is irrational.

Let's assume that 1-2√3 is rational,and it can be represented in the form of p/q.

1-2√3=p/q

=-2√3=p/q

=√3=p/q/-2

=√3=-2p/q

Here √3 can be represented in the form of p/q which is √3=-2p/q. But it contradicts the fact that √3 is irrational.

so,our assumption is wrong and 1-2√3 is irrational.

(Hence proved)

Answer 2

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