Surds And Indices
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Surds and indices
This chapter deals with defining the system of real numbers, distinguishing between
rational and irrational numbers, performing operations with surds, using integers
and fractions for index notation, and converting between surd and index forms.
After completing this chapter you should be able to:
▶
define real numbers and distinguish
▶
translate expressions in surd form
between rational and irrational
and index form
numbers
▶
evaluate numerical expressions
▶
simplify expressions involving surds
involving fractional indices
▶
expand expressions involving surds
▶
use the calculator to evaluate
fractional powers of numbers
▶
rationalise the denominators of
simple surds
▶
evaluate a fraction raised to the
power of –1
▶
use the index laws to define
fractional indices
▶
prove general properties of real numbers.
NUMBER & ALGEBRA – ACMNA 264
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