180k views
0 votes
6. Rationalize the denominator and simplify. 2+√3/5-√3

User Barkha
by
5.7k points

1 Answer

4 votes

(2+ √(3) )/(5- √(3) ) = ?

(2+ √(3) )/(5- √(3) )* (5+ √(3))/(5+ √(3)) =

((2+ √(3))*(5+ √(3)) )/((5- √(3))*(5+ √(3) )) =

(10+2 √(3)+5 √(3)+ √(3) ^(2) )/(25+5 √(3)-5 √(3) -√(3) ^(2) ) =

(10+7 √(3)+3)/(25-3) =

\boxed{(13+7 √(3))/(22) or13,55110708...}
User Zjywill
by
5.9k points