Question

prove that the following are irrational 5+root2​

Answer 1

Answer:

this may help you and Mark me down as a brainliast

Answer 2

Step-by-step explanation:

We have to prove

√2 is irrational.

Let us assume

√2 is rational.

2

​

=

b

a

​

( a and b has no common factions but 1 )

⇒2=

b

2

a

2

​

2b

2

=a

2

( hence a is even )

let a=2k

⇒2b

2

=(2k)

2

⇒b

2

=2k

2

( Hence b is even as well )

This contradicts as both a and b are even, ( 2 as common factor )

Hence,√2 is irrational.

Hence, proved.