1. Finding the “Geometric” Average!!!
Geometric Mean
Finding the “Geometric” Average!!!

2. Rules of Radicals Simplifying radicals Multiplying radicals
Break into prime factors
Pair up matching factors and pull 1 out
Multiply factors
Multiplying radicals
Multiply coefficients to coefficients
Multiply radical to radical
Simplify

3. Rules of Radicals Adding/Subtracting radicals Dividing with radicals
You can only add radicals if the radicals are the same.
Simplify to try and get matching radicals
Add / Subtract coefficient to coefficient
Do not change the radical
Dividing with radicals
Radicals CANNOT be in the denominator of a fraction
Multiply by a “funny looking one”
Multiply numerator to numerator
Multiply denominator to denominator
Simplify both the numerator and denominator

4. Radicals practice – In notebook

5. a x = x b Geometric Mean The geometric mean Any two numbers
The geometric mean is actually a proportion!
The geometric mean a x = x b
Any two numbers

6. Examples—find the geometric mean (you must simplify any radical answers)
1. Find the geometric mean between 14 and 28 14 a x = x 28 b
392 = x2
7 2 = x

7. Examples—find the geometric mean (you must simplify any radical answers)
1. Find the geometric mean between 15 and 75 15 a x = x 75 b
1125 = x2
3 5 x =

8. Find the geometric mean (simplify if needed)
12 and 32
14 and 28
16 and 36
8 and 30
10 and 45
40 and 108
55 and 165