8.1 pythagorean thm.notebook
January 18, 2017
1/18/17 - Warm Up Problem
Write and solve a proportion to find x in each triangle.
8.1 pythagorean thm.notebook
Yesterday's Assignment: pg. 475 (19-22)
January 18, 2017
8.1 pythagorean thm.notebook
Concept 18 - Simplifying Radicals
Goal: Write square roots in simplified radical form
What does each square root equal?
How would you solve the equation?
January 18, 2017
8.1 pythagorean thm.notebook
January 18, 2017
Writing a Root in Simplified Radical Form
If doing the square root of a number will result in an
irrational number, there is another way to simplify it.
Here are some terms we will need to know.
Perfect Square: a number whose square root is a whole number
2
2 =
2
3 =
2
4 =
2
5 =
2
6 =
2
7 =
2
8 =
2
9 =
2
10 =
2
11 =
8.1 pythagorean thm.notebook
Writing a Root in Simplified Radical Form
A radical is simplified when its radicand has no factors
that are perfect squares.
To put a number into simplified radical form:
1. Find a perfect square that divides into the radicand
2. Split the radicand into 2 factors that multiply to the # you started with
3. Do the square root of the perfect square and put it in front
January 18, 2017
8.1 pythagorean thm.notebook
Try it on your own...
Simplify these square roots in your notes.
January 18, 2017
8.1 pythagorean thm.notebook
Assignment:
8.1 Worksheet (front)
January 18, 2017