Question

Show that 2√3 is an irrational number ?

Answer 1

Heya!Here is your answer friend ⏬
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To Prove : 2√3 is an irrational number.

Proof : We shall prove this by the method of contradiction.

SO,let us assume to the contrary that 2√3 is rational .

This means , 2√3=r


$2 \sqrt{3} = r \\ \sqrt{3} = \frac{r}{2}$
Now , the LHS of the equation i,e √3 is irrational.

SO,the RHS can't be rational ( equation will become false ).

Hence our assumption that it is rational is wrong .

Therefore , it's an irrational number.

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Answer 2

Here is ur answer

To show:2√3 is an irrational number.
proof:
Let we first take 2√3 is rational number

and
2√3=p/q (where p and q are integer & q≠0

then √3 =p/2q

{p/5q} is a rational number but this contradiction show that √2 is a irrational number so

2√3 is a irrational number


I hope this help u!!!