1.  Simplify

3. Section P.3

4.  How do we simplify expressions involving radicals and/or rational exponents?

5.  If a≥0 and b≥0 and b 2 = a, then b is the principal square root of a.

7.  If a≥0 and b≥0, then The square root of a product is the product of the square roots.

8.  Simplify Solution:

9.  Simplify

10.  If a≥0 and b>0, then The square root of the quotient is the quotient of the square roots.

11.  Simplify: Solution:

12.  Simplify: a)b)

13.  Read Section P.3  Page 32 #1-25 odd  Graphing calculator check-out ◦ Textbook window ◦ Need signed form ◦ Must have your ID or schedule

14.  Evaluate each expression in Exercises 1-6 or indicate that the root is not a real number.  Use the product rule to simplify the expressions in Exercises 7-16. In Exercises 11-16, assume the variables represent nonnegative real numbers.

15.  Simplify

22.  We DO NOT leave radicals in the denominator  Multiply numerator and denominator by the smallest number that will eliminate the radical.  If square root: can multiply top and bottom by the radical in the denominator, then simplify

25.  For a denominator of form, we multiply numerator and denominator by its conjugate,

28.  If n, the index, is even, then a > 0 and b > 0. If n is odd, a and b can be any real numbers.

29.  For all real numbers, where the indicated roots represent real numbers,

34.  Read Section P.3  Page 32 #27-75 odd  You have until 1:50 to work on this assignment. We will then finish the P.3 notes.

36.  Rationalize and simplify

42.  The exponent m/n consists of two parts: the denominator n is the index of the radical and the numerator m is the exponent. Furthermore,

47.  Page 32 #77-93 odd, 104, 106, 121

48.  In Exercises 77-84, evaluate each expression without using a calculator.  In Exercises 85-94, simplify using properties of exponents.