Given that root 2 is irrational, prove that (5+3root2) is an irrational number.
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easy _peacy...
first consider 5+3√2 as rational..
now 5+3√2 = a/b.. where a and b are coprime..
thn a/b-5= 3√2
so a-5b/ b = rational
this shows that a ñ b have other factors other than 1 and itself
and this this bcz of the wrong assumption of √2 as rational..
hence it is irrational..
hope this answer helps u
first consider 5+3√2 as rational..
now 5+3√2 = a/b.. where a and b are coprime..
thn a/b-5= 3√2
so a-5b/ b = rational
this shows that a ñ b have other factors other than 1 and itself
and this this bcz of the wrong assumption of √2 as rational..
hence it is irrational..
hope this answer helps u
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