Question

find the simplest rationalising factor of √5+√3+2​

Answer 1

Answer:

=>8-2√15

Step-by-step explanation:

(√5-√3)^2

=>√5^2+√3^2-2*√5*√3

{(a-b)^2=a^2+b^2-2*a*b}

=>5+3-2*√5*√3

=>8-2√15

Answer 2

Answer:

Step-by-step explanation:

2√5-√3 × 2√5+√3=4√5√5 + 2√5√3 - 2√5√3-√3√3

                              =4*5 - 3        (2√5√3 & -2√5√3 get cancelled)

                              =20-3

                              =17

              ∴ It is rationalized

                      Therefore the simplest rationalizing factor of

                           2√5-√3 is  2√5+√3.