Question

to prove that 3-√5 please answer me ​

Answer 1

Answer:

Step-by-step explanation:

let us assume 3-root5 is a rat. number in its simplest form

3-'5=a/b(here ' is root)

-'5=a/b+3

a/b is rat. so a/b+3 is also rat.(addition in rat. numbers)

so '5 is also rat.

but it is given that root 5 is irrat.

we arrive a a contradiction

this contradiction arrises by assuming 3-'5 is rational so 3-'5 is irrat.