prove that 4-root 3 is an irrational number  

 

Asked by varalakshmikeerthana | 4th Mar, 2019, 07:50: AM

Expert Answer:

If 4√3 is a rational number then we have,  4√3 = a/b  ...............(1)
 
where a nad b are integers.
 
From eqn. (1), we can write,   √3 = a/(4b)  = a/c ............(2)
 
where c is another integer. But √3 is irrational and can not be expressed in the form of a/c if a and c are integers.
 
This contradiction is due to our assumption 4√3 is rational number. Hence 4√3 is irrational number

Answered by Thiyagarajan K | 4th Mar, 2019, 08:13: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.