1. Algebra 2 Section 3.1

3.  Square Root:  Cube Root:  4 th root:  5 th root:  6 th root:  111 th root:

4. Square Roots: Cube Roots:

7. With VariablesWith Numbers

8.  Convert from radical form  exponential form  Convert from exponential form  radical form

9. Evaluate the expression using a calculator. Round the result to two decimal places when appropriate. 1. 4 2/5 2. 9 6/5 – 3. ( 4 √ 16) 5 4. ( 3 √ –30) 2 1.74 ANSWER 0.07 ANSWER 32 ANSWER 9.65 ANSWER

10. Evaluate the expression using a calculator. Round the result to two decimal places when appropriate. 5. 11 3/10 6. 64 2/3 – 7. ( 10 √ 22) 3 8. ( 7 √ –88) 8 2.05 ANSWER 0.06 ANSWER 2.53 ANSWER 166.83 ANSWER

11.  Note: there is no ± for odd # roots Solve the equation. 4x 5 = 128 Divide each side by 4. x5x5 32= Take fifth root of each side. Simplify. x2 = x= 5 √32

12. (x – 3) 4 = 21 Take fourth roots of each side. x – 3 √ 21 4 + – = Add 3 to each side. Write solutions separately. Use a calculator. x5.14 or x0.86 x 4 + – 21+ 3= √ x 4 21+ 3 = or x= 4 21+ 3– √ √  Note: there is ± for even # roots