G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 10 Interactive Maths - Second Edition


Operations with Surds

In the following sections we will consider like and unlike surds, addition and subtraction of surds, multiplication of surds and the application of the Distributive Law to surds.

Like and Unlike Surds

Like surds have the same radicand, whereas unlike surds have different radicands.


Addition and Subtraction of Surds

Only like surds can be added or subtracted.

Example 9

Solution:

Note:

Always simplify surds before adding or subtracting them.


Example 10

Solution:


Key Terms

like surds, unlike surds

 

Study Another Topic in Chapter 9: Surds

Roots ] Simplification of Surds ] Entire Surds ] [ Operations with Surds ] Multiplication of Surds ] The Distributive Law ] Rationalisation of the Denominator ] Projects ] Symbols ] Index ]

 

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