Lesson3_SimplifyingRadicalsAdditionSubtraction.notebook
March 03, 2017
Today's Learning Goal:
• I can use radical notation to make numbers more precise
Lesson3_SimplifyingRadicalsAdditionSubtraction.notebook
March 03, 2017
Radicals
Radicals are numbers written in the form , where "n" is not a perfect square.
Ex. = ______________
We don't like to write these numbers as decimals because they don't repeat and therefore have many decimal places.
Investigating Properties of Radicals
Column A
a)
b)
c)
RULE:
Column B
Lesson3_SimplifyingRadicalsAdditionSubtraction.notebook
Simplifying Radicals:
A radical is in simplest form when:
• the radicand has no perfect square factors other than 1
• the radicand does not contain a fraction
• no radical appears in the denominator of a fraction
Ex. 1:
Express each radical as a mixed radical in simplest form. In order to do this, we must re­write each radical as a combination of as many perfect squares as possible.
a)
b)
c) March 03, 2017
Lesson3_SimplifyingRadicalsAdditionSubtraction.notebook
March 03, 2017
Adding or Subtracting Radicals
* To add or subtract radicals, add or subtract the whole numbers and keep the radicals the same.
Ex. 1: Simplify the following radicals (all radicals should be in simplest radical form)
a)
b)
c)
Hwk: Pg. 39 #2 - 4, 8ab