show that√3+√5 is irrational
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a, b are integers then (a²-8b²)/2b is a rational number. Then √15 is also a rational number. But this contradicts the fact that √15 is an irrational number. √3 + √5 is an irrational number.
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Then √15 is also a rational number. But this contradicts the fact that √15 is an irrational number. √3 + √5 is an irrational number. Hence, proved.
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