215k views
5 votes
I don’t understand how to rationalize the denominator?

I don’t understand how to rationalize the denominator?-example-1
User Julka
by
8.0k points

1 Answer

4 votes

(3 √(5)+ √(3) )/( √(5)- √(3) ) = ((3 √(5)+ √(3))( √(5)+ √(3) ) )/( (√(5)- √(3))( √(5)+ √(3) ) )= (15+3 √(15)+ √(15)+3 )/(5-3 )=(18+4 √(15) )/(2 )= \\\\ =(2(9+2 √(15)) )/(2 )=9+2 √(15)
User Patrick Michaelsen
by
8.7k points