show that (2 + √5)² is an irrational number
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Answered by
2
Answer:
assume that 2+√5 is a irrational number
Step-by-step explanation:
(2+√5)=p/q
s.o.b.s
4+5+2(2√5)=p^\q^
2(2√5)=p^ q^-9
LHs is not equal to rhs
Answered by
2
Step-by-step explanation:
(2+√5)^2
property:(a+√b)=a^2+b+2a√b
2^2+5+2×2×√5
4+5+4√5
9+4√5
hence,9+4√5 is an irrational numbers
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