why root 5 upon 2 is not a rational no.

Asked by agarwalliza8 | 10th 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 | 20th Sep, 2021, 08:46: AM