prove the sqrt{5} is irratuonal number
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√5=a÷b
5=a²÷b²
a²=5b²
a² is divisible by 5
let a =5c
a²=5b²
b²=5c²
b² is divisible by 5
a is divisible by 5
a÷b is not irrational
√5 is not rational and so √5 is irrational
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