WEEK 8-OPERATIONS-WITH-RADICALS

Operations with Radicals

Objectives

Start

+ and - of Radicals

Multiplication of Radicals

Division of Radicals

Summary

Addition and Subtraction of Radicals

Combining radicals is done using the distributive property.

Distributive property: ab+ac=a(b+c)

Example 2: Simplify

Example 1: Simplify

5√2

13√3

Let's see some examples:

Example 4: Simplify

Example 3: Simplify

3√2

4√3

Multiplication of Radicals

Multiplication of radicals is done using properties of exponents

Example 1: Express as an integer

Example 2: Simplify

10

Let's see some examples:

a)

You are given the measures of the rectangle shown in the figure.

b)

a) P=4√5b)A=3

a) Find the perimeter of the rectangle. b)Find the area of the rectangle.

Division of Radicals

Division of radicals is also done using properties of exponents

Example 1: Express as an integer

Example 2: Simplify

Rationalization of Radicals: Converting denominator of a fraction to intenger

Example 1: Rationalize

Example 2: Rationalize

Try it by yourself:

Summary: Operations with Radicals

RADICALIZATION

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

9TH-OPERATIONS-WITH-RADICALS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

MA.912.NSO.1 Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms. MA.912.NSO.1.2 Generate equivalent algebraic expressions using the properties of exponents. MA.912.NSO.1.4 Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

MATERIAL

It is highly advised to have:

• Grid paper.
• Pencils of different colors.
• Eraser.
• A rule.
• A calculator.
• Geogebra installed on your phone/tablet/computer (or use online version).