CBSE Class 9 Answered
why root 5 upon 2 is not a rational no.
Asked by agarwalliza8 | 10 Jun, 2021, 11:30: AM
Expert Answer
If ( √5 / 2 ) is a rational number , then we write ( √5 / 2 ) as
( √5 / 2 ) = p / q
where p and q are integer
Then , we rewrite above expression as
√5 = ( 2p) / q
where 2p is another integer .
It means √5 is expressed as fraction so that an integer divided by other integer which is not true
because we know that √5 is irrartional number .
Hence our initial assumption ( √5 / 2 ) = p / q is false .
Hence ( √5 / 2 ) is not a rational number
Answered by Thiyagarajan K | 20 Sep, 2021, 08:46: AM
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