Question

prove than 2+3✓5 is a irrational number ​

Answer 1

Answer:

assume that 2+3 root 5 is rational

so it can be written in the form p/q......

Answer 2

Answer:

we know √5 is an irrational number

let 2+3√5 be a rational number

then 2+3√5=a/b a, B are co prime b=0×

3√5=a/b-2

√5= 1/3(a/b) -2

but we know √5 is an irrational number

it cannot be write down in the form of a/ b

this contradiction has arisen because of our wrong consumption that 2 +3√5 is a rational number .

hence 2 +3√5 is an irrational number