prove 2 minus root 5(2-√5)
step by step
so we have to take out root of every root number
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If possible, let us assume 2+ 5
is a rational number.
2+ 5=qp
where p,q∈z,q
=0
2−qp=-5
q
2q−p
=−
5
⇒− 5
is a rational number
∵
q
2q−p
is a rational number
But −5 is not a rational number.
∴ Our supposition 2+ 5
is a rational number is wrong.
⇒2+ 5
is an irrational number.
hope it helps you
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