Question

Show that 7+11root 3 is not a rational number

Answer 1

Answer:

Step-by-step explanation:

Let 7+11√3 is rational number.

So we write 7+11√3 in form of p/q where q is not equal to 0 .

Now,

7+11√3 = p/q

11√3 = p/q - 7

11√3 = p - 7q / q

√3 = p - 7q /11q

Here √3 is irrational number so it is not equal to p - 7q /11q .

Our assuption is wrong that 7+11√3 is rational number ,it is rational number

Hence proved