13. (A) Show that root 3+ root 5 is an irrational
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Answer:
3 + root 5
let 3+ root 5 is a rational no.
3 + root 5 = p/q ( where p and q are integers and q is not = 0 )
root 5 = p/q - 3/1
root 5 = p - 3q/q
and we know that root 5 is an irrational no.
hence our contradictions the fact that 3 + root 5 is a rational no.
our supposition is wrong
therefore, 3 + root 5 is an irrational no.
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