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13.Suppose sqrt(3)+sqrt(5) is rational, then:
(sqrt(3)+sqrt(5))^2=3+2sqrt(15)+5=8+2sqrt(15)
is rational, which implies that sqrt(15) is rational - a contradiction.
Hence sqrt(3)+sqrt)5) is irrational.
(sqrt(3)+sqrt(5))^2=3+2sqrt(15)+5=8+2sqrt(15)
is rational, which implies that sqrt(15) is rational - a contradiction.
Hence sqrt(3)+sqrt)5) is irrational.
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