Question

prove that root5 is irrational

Answer 1

Hello friend your answer is
Let √5 is rational no.
√5=a/b
squaring both sides
5=a²/b²
5b2=a²
5divides 5b²
5divide a²
5divide a
let a=5m
M Is a integer
put value of a
5m²=5b2
25m2=5b2
5m²=b2
5divide 5b2
so 5divide b²
but 5 is prime
so it divide b
Our supposition is wrong..
√5 is irrational number

Answer 2

here is your answer...