ronaldosoccr Posted February 17, 2017 Share Posted February 17, 2017 quick algebra question, They write Sqroot3/3 as 1/Sqroot3, Can someone explain how they can do this and why? I'm finding exact value of trig expressions. Thanks Well I understand they rationalized the numerator but why? Link to comment Share on other sites More sharing options...
Dex Posted February 17, 2017 Share Posted February 17, 2017 (sq3/3) * (sq3/sq3) = sq3*sq3/3sq3 = sq9/3sq3 = 3/3sq3 = 1/sq3 2 Link to comment Share on other sites More sharing options...
ronaldosoccr Posted February 17, 2017 Author Share Posted February 17, 2017 Just now, Dex said: (sq3/3) * (sq3/sq3) = sq3*sq3/3sq3 = sq9/3sq3 = 3/3sq3 = 1/sq3 Can you tell me why they'd do this though? Does it help in solving for something specific? Because it seems counter-intuitive to get the radical out of the numerator when we're taught to rationalize the denominator Link to comment Share on other sites More sharing options...
Dex Posted February 17, 2017 Share Posted February 17, 2017 5 minutes ago, ronaldosoccr said: Can you tell me why they'd do this though? Does it help in solving for something specific? Because it seems counter-intuitive to get the radical out of the numerator when we're taught to rationalize the denominator I think it depends on what you're trying to solve but in this case 1/sq3 is the simplest form to express that fraction. It's like expressing 2/6 as 1/3. Link to comment Share on other sites More sharing options...
ronaldosoccr Posted February 17, 2017 Author Share Posted February 17, 2017 Just now, Dex said: I think it depends on what you're trying to solve but in this case 1/sq3 is the simplest form to express that fraction. Thanks, Also isn't this how you'd rationalize the numerator? (sqroot3/3)*(sqroot3/sqroot3)=(3/3sqroot3)=(1/sqroot3)? I didn't see where you got your 9 in your answer. Link to comment Share on other sites More sharing options...
Dex Posted February 17, 2017 Share Posted February 17, 2017 Just now, ronaldosoccr said: Thanks, Also isn't this how you'd rationalize the numerator? (sqroot3/3)*(sqroot3/sqroot3)=(3/3sqroot3)=(1/sqroot3)? I didn't see where you got your 9 in your answer. sq3 * sq3 = sq9 Link to comment Share on other sites More sharing options...
ronaldosoccr Posted February 17, 2017 Author Share Posted February 17, 2017 6 minutes ago, Dex said: sq3 * sq3 = sq9 Ah, I just skip that and cancel the squares. Anyways thanks for the reply, can close this, xoxo 1 Link to comment Share on other sites More sharing options...
