Question

Simplify (i) 1/(2+√3)+2/(√5-√3)+1/(2+√5) Pls answer quickly

Answer 1

Step-by-step explanation:

1/(2+√3)+2/(√5-√3)+1/(2+√5)

rationalising all

=1/(2+√3)×(2-√3)/(2-√3)+2/(√5-√3)×(√5+√3)/(√5+√3)+1/(2+√5)×(2-√5)/(2-√5)

=(2-√3)/1+2(√5+√3)/2+1(2-√5)/-1 (using (a+b).(a-b)=a²-b²)

=2-√3+√5+√3-2+√5

=√5+√5

=2√5