Question

Prove that3+2
root 5 is an irrational no.​

Answer 1

Answer:

Let , 3+2root5 is a rational no. equal to r where , r is a rational no.

Step-by-step explanation:

3 + 2root 5 = r

2 × root5 = r - 3

$\sqrt{5} = \frac{r - 3}{2}$

Here,

LHS is an irrational no. and RHS is an rational no.

so, LHS is not equal to RHS.

and Our assumption was wrong.

Therefore , 3+ 2root5 is not a rational no.

Hence, 3+2root 5 is an irrational number.

HENCE , PROVED......

HOPE THIS WILL HELP YOU......☺☺