Prove that root 3 is an irrational number.
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we should prove it by taking a contrary way.
let root 3 be rational.a rational number will be in the form of p/q.so,root 3=p/q
here p and q are in simplified form.so,they are co-primes,whose H.C.F. is 1.so,1 is a factor of root 3.
root 3=p/q
p=q*root3
squaring on both sides
p^2=3q^2
let root 3 be rational.a rational number will be in the form of p/q.so,root 3=p/q
here p and q are in simplified form.so,they are co-primes,whose H.C.F. is 1.so,1 is a factor of root 3.
root 3=p/q
p=q*root3
squaring on both sides
p^2=3q^2
Anonymous:
Thank you so much! :)
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