Prove That 2 Root 5 Is Irrational
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Answered by
0
Answer:
If possible, let us assume 2+
5
is a rational number.
2+
5
=
q
p
where p,q∈z,q
=0
2−
q
p
=−
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.
Answered by
0
Answer:
assume that 2 root 5 is rational where p and q are co prime and q not equal to 0
2 root 5 = p/q
root 5 = p/2q
here root 5 is an irrational number and p /2q is rational number
this a condradiction to our assumption that 2 root 5 is a rational number.
therefore our assumption is wrong. that is 2root5 is an irrationalnumber .
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