Question

prove that the following are irrational (i) root 3 + root 5​

Answer 1

Answer:

It is an irrational number because when we add two irrational numbers we always get an irrational number. √3 & √5 ate irrational numbers.

Answer 2

Step-by-step explanation:

let us assume√3+√5 is irrational number

Then√3+√5 is rational number

√3+√5=a/b

√3=a/b-√5

(√3) square=(a/b-√5) square

3=a square-2a/b√5 +√5square

3=a square /b square- 2√5a/b+5

transpose

-2b square=a square-2√5ab

2√5=a square+b square/2ab

therefore √3+√5 is irrational number