Simplifying Radicals (also see text p. 522­23 and p.799
Properties of Radicals:
Product Property:
Quotient Property:
3 Rules to Simplifying a Radical
1) No perfect square factors inside the radical
2) No fractions inside the radical
3) No radicals in the denominator of the fraction
Example 1: Find the exact answer (simplify the root) and the estimated answer.
a) √27
c) √120
b) √360
d) √99
Adding, Subtracting, Multiplying, and Dividing Radicals
Multiplying:
Dividing:
Adding:
Subtracting: