Question

examine whether the number rational or irrational (2+√2) (3-√5)/(3+√5) (2-√2)​

Answer 1

Answer:

(

2

+2)

2

=(

2

)

2

+2×

2

×2+(2)

2

=2+4

2

+4=6+4

2

.

Here, 6 is rational but 4

2

is irrational.

Since sum of rational and irrational number is an irrational number, (

2

+2)

2

is irrational number.