Show that (√3+√5)^2 is an irrational number
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let us assume that this is a rational number so it can be expressed in form p/q,
(√3 +√5)^2= p/q
3+5+2√15= p/q
8 + 2√15= p/q
√15= p/2q -8
but we know that p/2q -8 is a rational number and √15 is irrational so, by contradiction we can conclude that (√3 + √5)^2 is irrrational.
(√3 +√5)^2= p/q
3+5+2√15= p/q
8 + 2√15= p/q
√15= p/2q -8
but we know that p/2q -8 is a rational number and √15 is irrational so, by contradiction we can conclude that (√3 + √5)^2 is irrrational.
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