Question

Prove that 15+17√3 is an irrational number

Answer 1

suppose that 15+17√3 is a rational number
therefore15 +17√3=a....... a rational no.......(1)
therefore rational no. = irrational no.

but there is no any rational no. which is equal to irrational no.
we arrive at a contradiction
our assumption is wrong
thus,it is proved that 15+17√3 is an irrational no.




hope it will help

Answer 2

suppose that 15+17√3 is a rational number

therefore15 +17√3=a....... a rational no.......(1)

therefore rational no. = irrational no.

but there is no any rational no. which is equal to irrational no.

we arrive at a contradiction

our assumption is wrong

thus,it is proved that 15+17√3 is an irrational no