Question

If√ 3 is an irrational number then what is 2+4√3 ?



Pls help me i will mark as brainsliest​

Answer 1

Answer:

When we solve it .Then,

Step-by-step explanation:

2+4√3

=6√3

So, it is irrational number

Answer 2

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Given that √3 is irrational.

Let 2 + 4√3 be rational number.

$\implies2 + 4 \sqrt{3} = \frac{p}{q} \\ \implies4 \sqrt{3} = \frac{p - 2q}{q} \\ \implies \sqrt{3} = \frac{p - 2q}{4q}$

Here, √3 is irrational but $\frac{p - 2q}{4q}$ is rational, which is contradict.

$\therefore Our \: assumption \: is \: wrong \\ \implies2 + 4 \sqrt{3} \: is \: irrational$