The secret impresses no one. The trick you use it for is everything. A.9 nth Roots and Solving with Radicals The secret impresses no one. The trick you use it for is everything. -Alfred Borden

nth Roots The principal nth root of a number a, is defined as follows: means If is even, If is odd, a and b are any real numbers

Evaluating nth Roots 1) 2) 3) 4)

Properties of Radicals (1) Ex: (2) Ex: (3) Ex:

Simplifying Radicals 1) 2)

Simplifying Radicals 3)

Multiplying and Combining Radicals 1) 2)

Rationalizing Denominators When quotients have radicals, it is customary to rewrite the quotient so that the denominator contains no roots. Here are some examples of how to get rid of the roots! 1) 2) 3) 4)

Rationalizing Denominators 2) 1)

Solving Equations with Roots Solve the following equation.

The secret impresses no one. The trick you use it for is everything. A.9 nth Roots and Rational Exponents Homework#11 : p.1038 #35-49 odd The secret impresses no one. The trick you use it for is everything. -Alfred Borden