Question

prove that 15 + 7 root 3 is an irrational number . it is given that root 3 is irrational number

Answer 1

Answer:

Step-by-step explanation:

If possible let 15 + √3 is a rational.

Now,

=15+√3 - 15 is rational(difference between two rational number is always rational)

=√3 is rational.

This contradict the fact that√3 is irrational.Hence 15+√3 is rational.