Finding the “Geometric” Average!!!

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Presentation transcript:

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

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

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

Radicals practice – In notebook 1. 5. 2. 6. 3. 7. 4. 8.

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

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

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 =

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