Question

show that 7 minus root 5 is irrational given that root 5 is irrationalplz answer.1st answer will be marked as expert.

Answer 1

25--7, 5×5 =25, this is an irrational no ..

hope it helps

Answer 2

Let , 7-root5 is a rational no. is equals to r, where r is a rational no.
So,
7-root 5 = r
7-r = root 5.
Now,
LHS is a rational but RHS is an irrational.
So, our assumption was wrong; 7-root5 is not a rational no.
Therefore, 7-root5 is a irrational no.
Hence, proved.


Hope this will help you...☺☺