Question

Hello guys prove that √5 is irrational dont dare to spam u will spam your amswers are deleted ​

Answer 1

Answer:

it cannot prove because √5 is rational

Step-by-step explanation:

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Answer 2

Answer:

let $\sqrt5$ be irrational

hence $\sqrt5$ =p/q assuming p and q are coprime

squaring

5=p^2/q^2

p^2=5*q^2

rhs is divisible by 5

hence lhs is divisible by 5

hence p is divisible by 5

substituting

q=5m

squaring

q^2=25m^2

rhs is divisible by 5

hence lhs is also divisible by 5

q is divisible by 5

both p and q are divisible by 5

this contradicts our statement that p and q are coprime hence p/q is irrational

hence $\sqrt5$ is irrational