Real nth roots of a

Open Ended

Open Ended

Practice Test: Add/subtract/multiply or divide the following integers.

1.) 1+(-3)=

2.) (-10)+(-3)=

3.) 5-(-2)=

4.) (-2)-(-10)=

5.) (-15)-8=

6.) (-2)(-7)=

7.) (-6)(2)=

8.) 9(-4)=

9.) (-20)/(-2)=

10.) (-100)/2=

Real nth roots of a

by JadeAnthony Dosdos

​Warm-up:

​Core concepts:

​Example:

Find the indicated real nth root(s) of a.​

​

​1. n=3 ; a=-216 one real root

​2. n=4 ; a=81 two real root

Multiple Choice

n=6 ; a=1296

• No real roots

• One real root

• Two real roots

​Evaluate each expressions. (use calculators/desmos calculator)

Multiple Choice

Evaluate  $$4^{\frac{5}{2}}$$  

• -32

• 32

• 10

• -10

Multiple Choice

Evaluate $$9^{-\frac{1}{2}}$$  

• 1/3

• 1/4

• 1/5

• 1/6

Multiple Choice

Evaluate  $$\left(\sqrt[4]{16}\right)^5$$  

• -4

• 4

• -32

• 32

Multiple Select

Evaluate $$\left(\sqrt[3]{-30}\right)^2$$  

• 1.34

• 9.65

• 10

• 5.01