In today's lesson we learned about rationalizing the denominator. It is very similar to imaginary numbers if you look back to chapter six. It is the same concept, getting the radical out of the denominator. We started with easier examples:

3

--

√4 from here, you need to multiply the fraction by a

**WFOO**(weird form of one)

3 √4 3 √4 3√4

--- x ---- = ----- = ----

√4 √4 √16 4

For the next examples, you need to multiply the numerator and the denominator by the

**conjugate**, for example:

2 3 - √6 6 - 2√6

---- x -------- = --------

3 + √6 3- √6 3

Some of the harder examples, ones that you need to use information from both 8.5 and 8.6, look like this:

y^2 y^2

---- first, you need to simplify the denominator ------

√y^7 y^3√y

then, you need to get the radical out of the denominator

y^2 √y y ^2√y √y

--------- x ---- = ---------- = -------

y^3 √y √y y^4 y^2

We’re having a quiz on this section along with 8.4 and 8.5 tomorrow so hopefully this helps out!

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