1. 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

2. 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

3. Evaluating nth Roots 1) 2) 3) 4)

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

5. Simplifying Radicals 1) 2)

6. Simplifying Radicals 3)

7. Multiplying and Combining Radicals1) 2)

8. 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)

9. Rationalizing Denominators2) 1)

10. Solving Equations with Roots
Solve the following equation.

11. 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