Question

prove root 3 is a irrational number​

Answer 1

Answer: your answer is below please see it...

Step-by-step explanation:

ALL THE BEST TO TO YOUR EXAMINATION

Answer 2

$\huge\boxed{\fcolorbox{white}{pink}{Answer}}$

Let us assume that root 3 is rational.

Root 3 = a/b where a and b are integers and coprimes.

Root 3 * b = a

Square LHS and RHS

3b2 = a2

b2 = a2/3

Therefore 3 divides a2 and 3 divides a.

Now take ,

a = 3c

Square ,

a2 = 9c2

3b2 = 9c2

b2/3 = c2

Therefore 3 divides b2 and b

I hope this will helps u...