Question

please help

how do i express 5/(3+sqrt 2) in the form of a+b sqrt 2 ?

Answer 1

5/(3+sqrt 2)
= 5*(3- sqrt 2) /( (3+sqrt 2)* (3-sqrt 2) )
=5*(3- sqrt 2) /(3^2 - (sqrt2)^2)
= 5*(3- sqrt 2) /(9-2)
= 5*(3- sqrt 2) /7
=15/7 + ( -5/7) *sqrt 2

Answer 2

thank you