Module 5 - Roots And Exponents

Question 1

Will an even-indexed root of a non-negative number be positive or negative?

Answer 1

Positive

Question 2

What is 2²?

Answer 2

4

Question 3

What is 3²?

Answer 3

9

Question 4

What is 4²?

Answer 4

16

Question 5

What is 5²?

Answer 5

25

Question 6

What is 6²?

Answer 6

36

Question 7

What is 7²?

Answer 7

49

Question 8

What is 8²?

Answer 8

64

Question 9

What is 9²?

Answer 9

81

Question 10

What is 10²?

Answer 10

100

Question 11

What is 11²?

Answer 11

121

Question 12

What is 12²?

Answer 12

144

Question 13

What is 13²?

Answer 13

169

Question 14

What is 14²?

Answer 14

196

Question 15

What is 15²?

Answer 15

225

Question 16

What is 2³?

Answer 16

8

Question 17

What is 3³?

Answer 17

27

Question 18

What is 4³?

Answer 18

64

Question 19

What is 5³?

Answer 19

125

Question 20

What is 6³?

Answer 20

216

Question 21

What is 7³?

Answer 21

343

Question 22

What is 8³?

Answer 22

512

Question 23

What is 9³?

Answer 23

729

Question 24

What is 10³?

Answer 24

1,000

Question 25

What is √2 approximately?

Answer 25

1.4

Question 26

What is √3 approximately?

Answer 26

1.7

Question 27

What is √5 approximately?

Answer 27

2.2

Question 28

What is √6 approximately?

Answer 28

2.4

Question 29

What is √7 approximately?

Answer 29

2.6

Question 30

What is √8 approximately?

Answer 30

2.8

Question 31

How do you estimate the value of a nonperfect square?

Answer 31

1. Find the perfect square immediately above the value
2. Find the perfect square immediately below the value
3. Calculate both of those square roots
4. Approximate the square root of the value to whichever perfect square/root is closer

Question 32

How do you multiply radicals with the same index number?

Answer 32

Multiply the radicands, and write the product under the radical

Question 33

How do you rationalize a single radical in the denominator?

Answer 33

Multiply the both the numerator and the denominator by the radical

Question 34

How do you rationalize a binomial with a radical in the denominator of a fraction?

Answer 34

Multiply the numerator and the denominator by the conjugate of the binomial (the binomial with its opposite sign)

Question 35

What is the Power To A Power Rule?

Answer 35

When there are exponents that are being raised to a power (ie - exponents that are governed by other exponents), multiply those exponents.

Question 36

How do you isolate a number and remove the radical (determine the value of ⁶⁰√x = ¹⁰√2 for example)

Answer 36

1. Rewrite the radicals as fractional exponents
2. Remove the radicals by raising each expression to the LCD of the exponents

Question 37

What is the equivalent of x^-1?

Answer 37

1/x

Question 38

What is the equivalent of x^1/2?

Answer 38

√x

Question 39

What is √5 approximately?

Answer 39

2.2