

Radicals
(roots) and/or exponentiation
with fractional (rational) exponent

Operations
on radical expressions 
Adding, subtracting and multiplying
radicals

Rationalizing a denominator

Radicals
and/or fractional
(rational) exponents 





Operations
on radical expressions

Throughout,
we take variables to be positive, unless the index of the
radical is odd.

Adding, subtracting and multiplying
radicals

Examples: 













Rationalizing a denominator

Rationalizing a denominator is a method for changing an irrational denominator into a rational one. 
Examples: 








since a^{3} 
b^{3}
=
(a

b)
· (a^{2}
+ ab
+ b^{2}) 


Radicals
and/or fractional
(rational) exponents 











College
algebra contents 



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