Question

prove that 2+3✓5 is irrational​

Answer 1

Step-by-step explanation:

therefore proved that √5 is an irrational number

Answer 2

Step-by-step explanation:

Let x=2−3root 5be a rational number.

3 root 5 =2−x

root 5 =( 2-x)/3

Since x is rational, 2-x is rational and hence

(2-x)/3

is also rational number

⇒ root 5 is a rational numbers, which is a contradiction.

Hence 2-3 root5 must be an irrational number.