A common way to add fractions with radicals in the denominator is to "rationalize the denominator." For example, rationalize the denominator of

To rationalize this we use and multiply the numerator and denominator by giving

How do you rationalize the denominator of this?

Hint: How do you factor ?

-Dan

April 20th 2014, 06:36 PM

Soroban

re: Problem #2 - Rationalizing

Hello, topsquark!

Quote:

How do you rationalize the denominator of this?

Hint: How do you factor ?

Spoiler:

We have: .

Multiply by

. .

April 27th 2014, 05:00 AM

topsquark

re: Problem #2 - Rationalizing

And a big "nicely done" to Soroban for solving this week's challenge. His prize for submitting a correct entry is new car! (If I can still find those chocolate cars at Walgreen's.)