prove that root 3 is irrational?
Answers
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Answer:
root 3=a/b
on squaring both the sides
3=a^2/b^2
a^2=3b^2
now let us consider a=3c
on squaring both the sides
a^2=9c^2
as we have calculated that a^2=3b^2
3b^2=9c^2
b^2=3c^2
this contradicts the definition of rational number
hence it is irrational
Step-by-step explanation:
remember at the beginning we consider root to be rational as we have to prove that root 3 is irrational
any number for instance when we consider it to be a rational number we Express that number a/b
examples to prove root 5 is irrational
we shall consider root 5 as rational and Express it as root 5=a/b
we then square the numbers
a d if u have a question why I put a =3c instead of any other number because it was 3 to be proved irrational if it was 5 I would write root 5