Question

Show that 2- root 3 is an irrational number.​

Answer 1

Step-by-step explanation:

Let 2√3 be a rational number.

=2/√3 = p/q (where p & q are

rational numbers

and are coprimes

and q ≠ 0)

=√3 = p/2q

This is a contradiction because √3 is an irrational number and p / 2q is a rational no.

So , our assumption is wrong .

This implies that 2√3 is irrational .

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