prove 3/2√5 is an irrational no.
lorengray:
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Hope it helps!!!!!!!!!!!!!!!!!!!!!!
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but by NCERT solutions it says to rationalize!
sorry for disturbing you guys at this time
No problem
anyway thankyou both of you .
:-)
Wlcm
the mistake is that i solve 3root5/2 rather than 3/2root 5
yeah.. tysm
nevermind
:-D
Answered by
1
let us assume that 3/2root 5 is rational
therefore it can be written in the form of p/q where p and q are co-primes and q is not equal to 0
hence, 3/2root5 =p/q
3root5=2p/q
root5=2p/3q
as p and q are co primes therefore2p/3q is rational ,but this is contradictory as root 5 is irrational.
hence our exemption is wrong.
therefore,3/2root5 is irrationa
hence proved.
therefore it can be written in the form of p/q where p and q are co-primes and q is not equal to 0
hence, 3/2root5 =p/q
3root5=2p/q
root5=2p/3q
as p and q are co primes therefore2p/3q is rational ,but this is contradictory as root 5 is irrational.
hence our exemption is wrong.
therefore,3/2root5 is irrationa
hence proved.
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