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Elementary Algebra

Lynn Marecek

Chapter 9

Roots and Radicals - all with Video Answers

Educators


Section 1

Simplify and Use Square Roots

00:19

Problem 1

In the following exercises, simplify.
$$
\sqrt{36}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:19

Problem 2

In the following exercises, simplify.
$$
\sqrt{4}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
01:06

Problem 3

In the following exercises, simplify.
$$
\sqrt{64}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
00:16

Problem 4

In the following exercises, simplify.
$$
\sqrt{169}
$$

Nick Johnson
Nick Johnson
Numerade Educator
00:17

Problem 5

In the following exercises, simplify.
$$
\sqrt{9}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:11

Problem 6

In the following exercises, simplify.
$$
\sqrt{16}
$$

Amy Jiang
Amy Jiang
Numerade Educator
00:22

Problem 7

In the following exercises, simplify.
$$
\sqrt{100}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:20

Problem 8

In the following exercises, simplify.
$$
\sqrt{144}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:12

Problem 9

In the following exercises, simplify.
$$
-\sqrt{4}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:22

Problem 10

In the following exercises, simplify.
$$
-\sqrt{100}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:16

Problem 11

In the following exercises, simplify.
$$
-\sqrt{1}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:18

Problem 12

In the following exercises, simplify.
$$
-\sqrt{121}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:22

Problem 13

In the following exercises, simplify.
$$
\sqrt{-121}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:15

Problem 14

In the following exercises, simplify.
$$
\sqrt{-36}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
01:17

Problem 15

In the following exercises, simplify.
$$
\sqrt{-9}
$$

Vanessa Akaraiwe
Vanessa Akaraiwe
Numerade Educator
00:21

Problem 16

In the following exercises, simplify.
$$
\sqrt{-49}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:15

Problem 17

In the following exercises, simplify.
$$
\sqrt{9+16}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:20

Problem 18

In the following exercises, simplify.
$$
\sqrt{25+144}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:11

Problem 19

In the following exercises, simplify.
$$
\sqrt{9}+\sqrt{16}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:15

Problem 20

In the following exercises, simplify.
$$
\sqrt{25}+\sqrt{144}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:30

Problem 21

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{70}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:37

Problem 22

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{55}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:34

Problem 23

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{200}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:37

Problem 24

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{172}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:37

Problem 25

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{19}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:37

Problem 26

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{21}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:37

Problem 27

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{53}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:37

Problem 28

In the following exercises, estimate each square root between two consecutive whole numbers.
$$
\sqrt{47}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:08

Problem 29

In the following exercises, simplify.
$$
\sqrt{y^{2}}
$$

Amy Jiang
Amy Jiang
Numerade Educator
01:07

Problem 30

In the following exercises, simplify.
$$
\sqrt{b^{2}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
00:19

Problem 31

In the following exercises, simplify.
$$
\sqrt{a^{14}}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
01:14

Problem 32

In the following exercises, simplify.
$$
\sqrt{w^{24}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
00:21

Problem 33

In the following exercises, simplify.
$$
\sqrt{49 x^{2}}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
01:07

Problem 34

In the following exercises, simplify.
$$
\sqrt{100 y^{2}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:19

Problem 35

In the following exercises, simplify.
$$
\sqrt{121 m^{20}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:17

Problem 36

In the following exercises, simplify.
$$
\sqrt{25 h^{44}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:22

Problem 37

In the following exercises, simplify.
$$
\sqrt{81 x^{36}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:14

Problem 38

In the following exercises, simplify.
$$
\sqrt{144 z^{84}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:31

Problem 39

In the following exercises, simplify.
$$
-\sqrt{81 x^{18}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:16

Problem 40

In the following exercises, simplify.
$$
-\sqrt{100 m^{32}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:06

Problem 41

In the following exercises, simplify.
$$
-\sqrt{64 a^{2}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
00:23

Problem 42

In the following exercises, simplify.
$$
-\sqrt{25 x^{2}}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:15

Problem 43

In the following exercises, simplify.
$$
\sqrt{144 x^{2} y^{2}}
$$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
01:04

Problem 44

In the following exercises, simplify.
$$
\sqrt{196 a^{2} b^{2}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:22

Problem 45

In the following exercises, simplify.
$$
\sqrt{169 w^{8} y^{10}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
02:10

Problem 46

In the following exercises, simplify.
$$
\sqrt{81 p^{24} q^{6}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:07

Problem 47

In the following exercises, simplify.
$$
\sqrt{9 c^{8} d^{12}}
$$

Teresa Fuston
Teresa Fuston
Numerade Educator
01:19

Problem 48

In the following exercises, simplify.
$$
\sqrt{36 r^{6} s^{20}}
$$

Julie Silva
Julie Silva
Numerade Educator
01:13

Problem 49

Denise wants to have a square accent of designer tiles in her new shower. She can afford to buy 625 square centimeters of the designer tiles. How long can a side of the accent be?

Teresa Fuston
Teresa Fuston
Numerade Educator
01:09

Problem 50

Morris wants to have a square mosaic inlaid in his new patio. His budget allows for 2025 square inch tiles. How long can a side of the mosaic be?

Teresa Fuston
Teresa Fuston
Numerade Educator
00:37

Problem 51

Why is there no real number equal to $\sqrt{-64} ?$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:27

Problem 52

What is the difference between $9^{2}$ and $\sqrt{9}$ ?

Elizabeth Xu
Elizabeth Xu
Numerade Educator