Question

1. √3/2 + √2/3 + √1/6 =
2. √3/5 + √5/3 + √1/15 =

Answer 1

1. √(3/2) + √(2/3) + √(1/6)
= √3/√2 + √2/√3 + √1/√6
= √6/2 + √6 /3 + √6/6
= (1/2+1/3+1/6)√6
= (3+2+1/6)√6
= √6

NB :
=> √3/√2 x √2/√2= √6/2
=> √2/√3 x√3/√3= √6/3
=> 1/√6 x√6/√6= √6/6