Hello guys prove that √5 is irrational dont dare to spam u will spam your amswers are deleted
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Hello guys prove that √5 is irrational dont dare to spam u will spam your amswers are deleted
Hello guys prove that √5 is irrational dont dare to spam u will spam your amswers are deleted
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Answer:
it cannot prove because √5 is rational
Step-by-step explanation:
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Answer:
let [tex]\sqrt5[/tex] be irrational
hence [tex]\sqrt5[/tex] =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 [tex]\sqrt5\\[/tex] is irrational