Question

prove that 3+2√5 is irrational​

Answer 1

Step-by-step explanation:

Let 3 + 2√5 be a rational no.so, it can be written in a form of p/q

p/q= 3+2√5

p/q-3= 2+√5

p-3q/q= 2√5

p-3q/2q= √5

Since √5 is an irrational no. so, it can't be equal to p-3q/2q as it's rational no. Hence our assumption is wrong, 3 + 2√5 is an irrational no.

Answer 2

Since 3+2

.

=3+2*2.236......(value of root 5 is 2.236...)Hence

$3 + 2 \sqrt{5}$

Is an irrational number