prove that under root 3 minus under root 8 is an irrational number
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STEP BY STEP :
let suppose
√ 3 + √ 8 is rational
than it can be written in p/q form
therefore
√ 3 + √ 8 =p/q
√ 3 = p/q -8
now
p/q -8 is rational , but √3 is irrational
and a rational cannot be equal to irrational
it means our supposition is wrong
HENCE
√ 3 + √ 8 is irrational no.
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