show that 2√3-5 is an irational number
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No, 2√3 -5 is not a iraational no
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, assume that 2+3root 5 is rational.
2+3root5=p/q,where p and q are coprimes and q not equals to 0.
3root 5=p/q-2.
root 5=p/q-2/3.
A rational number never equals to an irrational number.
We assume that p and q are coprimes and q not equals to 0.
so, our assumption is wrong.
2+3root 5 is an irrational number.
Thank you, hope it helps....
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