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Year 10 Interactive Maths - Second Edition


Entire Surds

Mixed surds can be expressed as entire surds.
Recall:

An entire surd is a surd in which the entire number is under the root sign.


Example 8

Solution:

In the above example, the technique used to write the mixed surd as an entire surd is to square the number outside the square root sign and place this square as a factor under the root sign. That is:


Key Terms

entire surd, mixed surd

 

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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