Question

12. Prove that 2+√5 is an irrational,​

Answer 1

let us suppose that 2 + under root 5 is rational no

2+under root 5 =p/q

under root 5=p/q -2

under root 5=p-2q upon q (p-2q) k nicha q

p-2q upon q is rational no

but under root 5 is not rational no

so by contradiction method 2+under root 5is rational

Answer 2

Answer:

2+√5 is an irrational number..

Step-by-step explanation:

√5 is a irrational number and √ in irrational thing.

If √ with any number is present in any equation then the equation is considered as irrational number.

exceptional case:

If the equation is like        = 60+(√5) square

then the equation will be = 60+5

                                          = 65

If the equation is like        = √5+√5

then the equation will be = (√5) whole square

                                          = 5