Today we got the results back from our 8.1-8.3 quiz. Overall, the class did pretty well; the average was and 80%. We went over a few problems but there was little confusion so we moved on.

Next, since we didn't have any homework, we skipped right to the lesson, 8.4. To begin lesson 8.4, Radical Notation for nth Roots, we reviewed some of the ideas from previous sections that are critical in understanding this one. The two most important are probably: an

x^1/2 = √x

ⁿ√x^m = x^m/n

A useful example (from the notes) is:

Suppose x ≥ 0. Simplify ³√x¹².

What you should do is take (x¹²) and raise it to the 1/3 power.

(x¹²)^1/3 = x⁴

In lesson 8.4, however, it gets a little more complex. I hope I can help you understand it. Instead of being formatted like the example above, problems in this section look a little more like this:

Suppose x ≥ 0. Rewrite √(√(√x))). It’s pretty tough to write that on word, but it’s basically the square root, of the square root, of the square root of x. You would write it using radical exponents, like so:

((x^½) ^½) ^½ or, since you multiply ½ by ½ by ½, its x^1/8.

So, if you suppose x ≥ 0, can you solve ⁶√y⁴ ?

Here is how you would: (y⁴)^1/6 = y^4/6 = y^2/3

The homework for tomorrow is As. 804. I hope this was helpful! If you have any questions, the notes are on moodle: http://gbs-moodle.glenbrook225.org/moodle/login/index.php

-Meg Karnig