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? 

(sq3/3) * (sq3/sq3) = sq3*sq3/3sq3 = sq9/3sq3 = 3/3sq3 = 1/sq3

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 

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.

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.

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

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