Question

Prove that each of the following number is irrational (√3+√5)​

Answer 1

Answer:

√15is an irrational number

Answer 2

Step-by-step explanation:

Assume that √3+√5 is rational

let √3+√5 be m

m=√3+√5

On squaring both the sides

m²=(√3+√5)²

m²=3+5+2√15

m²=8+2√15

m²-8=2√15

(m²-8)/2=√15

√15 must also be a rational number as quotient f two rational numbers is rational.8 and 2 are also rational numbers.m is a rational number ,so m² is also rational

This is a contradiction

our assumption was wrong

√3+√5 is irrational