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"Quadratic Radicals" Real Numbers PPT Courseware 3
learning target
1. Experience the formation process of quadratic radical multiplication rules, and be able to perform simple multiplication operations of quadratic radicals.
2. Master the division rules of quadratic radicals and be able to apply the division rules for calculations.
When two quadratic radicals are divided, the quotient of dividing their radicands is the radicand of the quotient.
Steps to simplify a quadratic radical:
(1) Decompose the radicand number into several square numbers as much as possible.
(2) Apply the root ab=the root a×the root b
(3) Simplify the square term by applying the root sign a²=a.
3. There are two common methods for dividing quadratic radicals:
(1) Use the formula: root a/root b = root ab.
(2) First write the division in the form of a fraction, and then simplify it to the simplest quadratic radical.
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