Question: Root in the Denominator

Comment on Root in the Denominator

I solved this in a slightly different way,and just wanted to check if you could tell me which one would work faster in multiple scenarios.
So instead of trying to get the same denominator as 1 by using two conjugates, I multiplied both the denominators with each other to get a common multiple in the denominator, and then in the numerators, I multiplied the first fraction's numerator by the second denominator, and similarly for the other one.

Do let me know.
gmat-admin's picture

That works too.

Your method works because the each of the two denominators just happens to be the conjugate of the other.

Thanks for the response.
Just a follow up question. Will my method not work, in case they are not conjugates?
gmat-admin's picture

Yes, yours is still a valid approach, but you may have to perform a little extra work (not much though).

Add a comment

Office Hours

Have questions about your preparation or an upcoming test? Need help modifying the Study Plan to meet your unique needs? No problem. Just book a Skype meeting with Brent to discuss these and any other questions you may have. 

Change Playback Speed

You have the option of watching the videos at various speeds (25% faster, 50% faster, etc). To change the playback speed, click the settings icon on the right side of the video status bar.

Have a question about this video?

Post your question in the Comment section below, and I’ll answer it as fast as humanly possible.

Free “Question of the Day” emails!