Question

prove that 5+2×√3 is an irrational number ​

Answer 1

Answer:

If there will be a root in any equation that means it's a irrational number

Answer 2

Answer:

Let 5 +2√3 = p/q

where 'p' and 'q' have only 1as a common factor

$2 \sqrt{3} = \frac{p}{q} - 5 \\ 2 \sqrt{3 } = \frac{p - 5q}{q } \\ \sqrt{3 } = \frac{p - 5q}{2q}$

Here, √3 is in the form of p/q which is a rational number, but as we known √3 is irrational number.

So, 5+2√3 is irrational number.

(proved)

Plz mark as brainlist