Prove that 2-root 5 is an irrational number..
help...
no spam guys...
helpp
Answers
Answered by
1
you have to prove 1st that root5 is irrational then
rational-irrational = irrational
Answered by
1
Step-by-step explanation:
If possible, let us assume 2+5 is a rational number.
2+5=qp where p,q∈z,q=0
2−qp=−5
q2q−p=−5
⇒−5 is a rational number
∵q2q−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.
Similar questions