Question

answer my question and get 20 points​

Answer 1

Step-by-step explanation:

Let 3+2√5, if possible, be a rational number equal to x

Then,

(3+2√5)² = x²

=> 3² + 2×3×2√5 +(2√5)² = x²

=> 9+12√5+20 = x²

=> 29 + 12√5 =x²

=>12√5= x²-29

Now,

x is rational

=> x² is rational

=> x²-29 is rational

=> 12√5 is rational

But, 12√5 is irrational.

Thus, our assumption that (3+2√5) is rational is wrong.

Answer 2

Step-by-step explanation:

$3 + 2 \sqrt{5}$

hope it helps you good amount