Question

Prove that 5+ V3 is irrational number.​

Answer 1

Answer:

Let us assume that

$5 + \sqrt{3}$

is a rational number

Therefore

$5 + \sqrt{3} = \frac{x}{y}$

where x/y is is a rational number and y is not equal to 0

$5 = \frac{x}{y} - \sqrt{3}$

but

$\frac{x}{y} - \sqrt{3}$

is not a rational number

Therefore

$5 + \sqrt{3}$

is not a rational number

Therefore our assumption was wrong

Hence it is a irrational number