Root 5 is irrational prove

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Lets assume root 5 is rational. Root 5 =a/b where a and b are co-prime b is not =0b root 5 =asquaring both sides 5b square =a square – – – – – – 15 divides a square =5 divides aa= 5ca square =25c square\t–put value of a square in 15b square =25c square (cutting both) b square =5c square 5 divides by b square=5 divides b and we know 5 divides a but a and b are co-prime = our supposition is wrong. = root 5 is irrational.