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ICSE - VIII - Mathematics - Rational Numbers

Use division method to show that root 3 and root 5 are irrational numbers.
use method contradiction to show that root 3 and root 5 are irrational numbers.

Asked by apphiasneh 13th June 2016, 8:34 PM
Answered by Expert


Long division method:
begin mathsize 14px style H e n c e comma space square root of 3 equals 1.73205080..... comma space w h i c h space i s space n o n minus t e r m i n a t i n g space a n d space n o n minus r e p e a t i n g.
rightwards double arrow square root of 3 space i s space a n space i r r a t i o n a l space n u m b e r.

N o w comma space C o n t r a d i c t i o n space m e t h o d. end style
Similarly, you can do for Root 5.
Answered by Expert 15th June 2016, 2:59 PM

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