Question

prove tht under root 5 - 2 is irrational​

Answer 1

$\huge\mathrm{Hiiee!}$

Let $\sqrt{5} - 2 = \frac{a}{b}$

$\sqrt{5} = \frac{a + 2b}{b}$

Since,$\frac{a}{b}$

is a rational number,$\frac{a + 2b}{b}$ is also a rational number.

But,$\sqrt{5}$ is an irrational number.

So,our supposition is wrong.

Hence, $5 - \sqrt{2}$ is an irrational number.

Answer 2

Here is your answer user.