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

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