Question

5-√3 prove irrational

Answer 1

Answer:

Pl see the attached file...

If its given thta√3 is irrational in question then u don't have to prove it OR

If it is not given then first prove √3 irrational then prove5-√3 irrational or u may lose marks in exam.

I have given the proof of √3 is irrational in the last pic

So, kindly do what is given in the question

IF U FOUND IT HELPFUL THEN PLZ MARK AS BRAINLIEST

Answer 2

$\bf\huge\underbrace{Answer}$

Assumption :

Let us assume that

$5 - \sqrt{3}$

is a Rational number si it can be expressed as P/Q form where p,q are integers

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

Then,

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

Here

p/q -5 is a rational number but root 3 is not a rational number.

Hence our assumption is wrong,That 5- /3 is an Irrational number.