# Test 7.4-7.5

From Huben's Wiki

7.4: nth roots

- if a
^{n}= b, then a is an nth root of b. - table of how many nth roots of what sort
- principal root
- simplify
- simplify using absolute power
- evaluate with calculator

7.5: Operations with Radical Expressions

- product and quotient properties
- simplifying radical expressions

- the index n is as small as possible
- radicand without nth powers
- radicand without fractions
- no radicals in denominator

- multiplying radicals (foiling!)
- rationalizing denominator
- multiplication to make powers match indexes
- multiplication by
**conjugates**(foiling again!)

- adding
**like radical expressions**(indexes and radicands the same)