Question

11. Prove that 4-5v2 is an irrational number.​

Answer 1

Answer:

Let 4-5 root2 is a rational number.

So 4- 5 root2 =p/q ,where p and q are co-prime integers.

Now,4-5 root 2 =p/q

So root 2=4-p/q÷5

As we know that root2 is an irrational number, LHS is irrational.

Hence 4-5 root2 is also irrational..