Question

prove that root 3 is irrational number​

Answer 1

Bro I had done √5 ......

you can understand this and do the same for √3....

Or just place √3 in place of √5 and solve it......

Hope it helps you......

please mark it as brainliest.....

also rate 5 star......

Answer 2

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.