Question

- Prove that 7+4/5 is an irrational number. Given that V5 is irrational.
v is root and after 4 is also root .. what is answer please tell ​

Answer 1

Step-by-step explanation:

7 + 4root5 = a/b, where a and b are any rational numbers.

4root5 = a/b - 7 = (a - 7b)/b

root5 = (a - 7b)/4b

(a - 7b)/4b is rational as a and b are rational also. So, root5 is also rational.

But root5 is irrational.

This is a contradiction arisen by the assumption that 7 + 4root5.

Hence, 7 + 4root5 is irrational.