Question

prove that 7+4√5 is an irrational number given that√5 is irrational ​

Answer 1

Step-by-step explanation:

Let

7+4√5=a/b ,b≠0

4√5=a-7/b

√5=a-7/4b

As √5 is irrational contradiction to the assumption

7+4√5 is irrational