Cornell Notes Template
Name _________________ Section _____ Date: Monday, August 23, 2010
Cornell Notes: Simplifying Radical Expressions
|Key Vocabulary |Radicand, radical expression, rationalizing the denominator, radical equation, extraneous solution, |
|Vocabulary/Definitions |A Radical Expression is an expression that contains a radical such as a square root, cube root, or other root. |
| |A Radical Function is a radical expression that contains an independent variable IN the radicand. |
| |An example would be y = x + 2 |
| |Rationalizing the Denominator is the process of eliminating a radical from an expression’s denominator. |
| |Radical Equation is an equation that contains a radical expression with a variable in the radicand. |
| |Extraneous Solution is a solution or answer that does not fit into the original equation. |
| | |
| |Three (3) ways to simplify radical expressions |
| |Look for perfect square factors in the radicand |
| |Eliminate radicals in the denominator of a fraction (Rationalizing the denominator) |
| |Eliminate fractions in the radicand |
| |A radical is in simplest form when the following are true: |
|Simplifying Radical Expressions |No perfect square factors other than 1 are in the radicand |
| |No fractions are in the radicand |
| |No radicals appear in the denominator of a fraction. |
| | |
| |Product Property of Radicals |
| |Explanation: The square root of a product equals the product of the square roots of the factors. |
| |Algebra terms: _______ = _______ x ________ |
| |Example: |
| | |
|Properties of Radicals |32 = 16 x 2 |
| |= 16 x 2 |
| |= 4 2 |
| | |
| |Let’s Practice! |
| | |
| | |
| | |
| |Quotient Property of Radicals |
| |Explanation: The square root of a quotient equals the quotient of the square roots of the numerator and denominator. |
| |Algebra terms: __________ = __________ |
| |Example |
| | |
| | |
| |Let’s Practice |
|Rationalize the Denominator |Rationalizing the Denominator is the process of eliminating a radical from an expression’s denominator. |
| | |
| | |
|Add or Subtract Radicals |You can use the distributive property to simplify sums and differences of radical expressions when the expressions have |
| |the same radicand. |
| |Example: |
|Things to Remember |Remember that different radicals, the same as Like Terms, cannot be added or subtracted but can be multiplied and |
| |divided. |
| |Example: |
|Try these for Practice | |
Yes my scholar has reviewed these notes and understands how to successfully divide and multiply decimals. We have worked the sample problems attached. Signing below means I acknowledge that my scholar will master this skill and get a 5 point bonus added to the assessment IF she/he passes the assessment.
______________________________________________________________________
(Parent/Guardian Signature- 5 point bonus)
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- cornell criteria lvh
- cornell notes template pdf printable
- bible study notes template pdf
- iep notes template word document
- cornell data analytics certificate
- cornell legal citation guide
- cornell university data analytics program
- cornell analytics certificate
- cornell criteria
- cornell data analytics program
- cornell university data analytics certificate
- financial statement notes template download