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Let us assume that √3+√5 is rational no.
so,√3+√5=r
(where r is a rational no.)
√3=r-√5
we know that √3 and √5 are irrational no.
So,irrational=rational-irrational(rational-irrational=irrational)
So,irrational(√3)=irrational(r-√5)
hence, our assumption of √3+√5 as rational was wrong
hence,√3+√5 is an irrational no.
hope it helps...
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