Show that (√3+√5)2 is an irrational number,
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Step-by-step explanation:
Let (√3+√5)² be rational number
√3²+2×√3×√5+√5²=p/q
3+2√15+5=p/q
8+2√15=p/q
√15=p-8/2q.
here p,q,-8,2arerational numbers and we know that root15 is an irrational number.
(√3+√5)²is not a rational number..
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hence proved
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