"The Simplest Quadratic Radical Expression" Quadratic Radical Expression PPT Courseware 2

Description

"The Simplest Quadratic Radical Expression" Quadratic Radical Expression PPT Courseware 2

Review questions

1. What is the multiplication rule for quadratic radicals? How to express it in written language? What are the requirements for the results of operations?

(1)√a√b=√ab (a≥0, b≥0)

(2) Multiplication of quadratic radicals: multiplication of radicans, the root exponents remain unchanged;

(3) Simplify as much as possible.

2. What is the division algorithm for quadratic radicals? How to express it in written language? What are the requirements for the results of operations?

(1)√a/√b=√a/b (a≥0, b>0)

(2) Division of quadratic radicals: divided by the square root, the root exponent remains unchanged;

(3) Simplify as much as possible.

The definition of the simplest quadratic radical

A quadratic radical that satisfies the following conditions is called the simplest quadratic radical.

(1) The exponent of each factor in the radicand number is 1

(2) The radicand number does not contain a denominator

Interpretation of the simplest quadratic radical:

A quadratic radical that satisfies the following conditions is called the simplest quadratic radical.

(1) The factors in the radicand number are integers and the factors are integers;

(2) The radicand number does not contain factors or factors that can solve all squares;

(3) There is no root sign in the denominator.

The steps to simplify a quadratic radical are:

1) Convert the radicand number (or formula) into the form of a product, that is, factor it.

2) Remove the denominator in the root sign, that is, rationalize the denominator.

3) Find out the factors (formulas) within the square root that can open up all the squares.

Class summary:

1. The concept of the simplest quadratic radical.

A quadratic radical that satisfies the following conditions is called the simplest quadratic radical.

(1) The factors in the radicand number are integers and the factors are integers;

(2) The radicand number does not contain factors or factors that can solve all squares;

(3) There is no root sign in the denominator.

2. How to convert a quadratic radical into the simplest quadratic radical.

The courseware contains a wealth of examples, fully explains the definition and properties of quadratic radicals, and strengthens difficult and key content. It is very suitable for junior high school mathematics teaching.

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For more information about the PPT courseware "Quadratic Radicals and the Simplest Quadratic Radicals", please click the Quadratic Radicals ppt Simplest Quadratic Radicals ppt tab.

"The Simplest Quadratic Radical Expression" Quadratic Radical Expression PPT courseware:

"The Simplest Quadratic Radical Expression" Quadratic Radical Expression PPT Courseware The Simplest Quadratic Radical Expression (1) The exponents of each factor of the radicand are all 1. (2) The radicand number does not contain a denominator. The quadratic radical formula whose radicand satisfies the above two conditions is called the simplest quadratic radical formula. ... ... .....

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Update Time: 2024-09-12

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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