prove that 5+√5 is an irrational number
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Step-by-step explanation:
Let us assume 5+√5 is rational
So, (5+√5)^2 is also rational.
=> 25+10√5+5.
=> 30+√5 is irrational. Because the sum of a rational & a irrational number is always irrational. Therefore our assumption is wrong. Hence 5+√5 is irrational.
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