Question

prove that 7+3root 2 is not a rational number

Answer 1

let 7 + 3√2 be an rational number where
7+3√2 = a/b [ a and b are coprime and b is not equal to zero]
3√2= a/b-7
3√2 =( a-7b) /b
√2 = (a-7b) /3b .....(i)

Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.



hope it helped u....

Answer 2

Answer:

it is not rational no. because rational +irrational no.= irrational no. . e.g. 0.2348 bar on all no.s after decimal +2( irrational+rational) = 2.2348 it is irrational

hope it helps u