Chapter 9

Elementary Algebra · 518 exercises

Problem 1

Simplify. $$ \sqrt{36} $$

4 step solution

Problem 2

Simplify. $$ \sqrt{4} $$

4 step solution

Problem 3

Simplify. $$ \sqrt{64} $$

3 step solution

Problem 4

Simplify. $$ \sqrt{169} $$

3 step solution

Problem 5

Simplify. $$ \sqrt{9} $$

4 step solution

Problem 6

Simplify. $$ \sqrt{16} $$

3 step solution

Problem 7

Simplify. $$ \sqrt{100} $$

4 step solution

Problem 8

Simplify. $$ \sqrt{144} $$

3 step solution

Problem 9

Simplify. $$ -\sqrt{4} $$

3 step solution

Problem 10

Simplify. $$ -\sqrt{100} $$

4 step solution

Problem 11

Simplify. $$ -\sqrt{1} $$

3 step solution

Problem 12

Simplify. $$ -\sqrt{121} $$

2 step solution

Problem 16

Simplify. $$ \sqrt{-49} $$

4 step solution

Problem 17

Simplify. $$ \sqrt{9+16} $$

3 step solution

Problem 18

Simplify. $$ \sqrt{25+144} $$

3 step solution

Problem 19

Simplify. $$ \sqrt{9}+\sqrt{16} $$

3 step solution

Problem 20

Simplify. $$ \sqrt{25}+\sqrt{144} $$

3 step solution

Problem 21

Estimate each square root between two consecutive whole numbers. $$ \sqrt{70} $$

3 step solution

Problem 22

Estimate each square root between two consecutive whole numbers. $$ \sqrt{55} $$

3 step solution

Problem 23

Estimate each square root between two consecutive whole numbers. $$ \sqrt{200} $$

3 step solution

Problem 25

Approximate each square root and round to two decimal places. $$ \sqrt{19} $$

4 step solution

Problem 26

Approximate each square root and round to two decimal places. $$ \sqrt{21} $$

4 step solution

Problem 27

Approximate each square root and round to two decimal places. $$ \sqrt{53} $$

5 step solution

Problem 28

Approximate each square root and round to two decimal places. $$ \sqrt{47} $$

3 step solution

Problem 30

Simplify. $$ \sqrt{b^{2}} $$

2 step solution

Problem 31

Simplify. $$ \sqrt{a^{14}} $$

4 step solution

Problem 33

Simplify. $$ \sqrt{49 x^{2}} $$

2 step solution

Problem 34

Simplify. $$ \sqrt{100 y^{2}} $$

5 step solution

Problem 35

Simplify. $$ \sqrt{121 m^{20}} $$

4 step solution

Problem 36

Simplify. $$ \sqrt{25 h^{44}} $$

4 step solution

Problem 38

Simplify. $$ \sqrt{144 z^{84}} $$

4 step solution

Problem 39

Simplify. $$ -\sqrt{81 x^{18}} $$

5 step solution

Problem 40

Simplify. $$ -\sqrt{100 m^{32}} $$

4 step solution

Problem 41

Simplify. $$ -\sqrt{64 a^{2}} $$

5 step solution

Problem 42

Simplify. $$ -\sqrt{25 x^{2}} $$

4 step solution

Problem 43

Simplify. $$ \sqrt{144 x^{2} y^{2}} $$

4 step solution

Problem 44

Simplify. $$ \sqrt{196 a^{2} b^{2}} $$

4 step solution

Problem 45

Simplify. $$ \sqrt{169 w^{8} y^{10}} $$

5 step solution

Problem 46

Simplify. $$ \sqrt{81 p^{24} q^{6}} $$

4 step solution

Problem 47

Simplify. $$ \sqrt{9 c^{8} d^{12}} $$

4 step solution

Problem 48

Simplify. $$ \sqrt{36 r^{6} s^{20}} $$

4 step solution

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?

6 step solution

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?

4 step solution

Problem 51

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

5 step solution

Problem 52

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

3 step solution

Problem 53

Simplify. $$ \sqrt{27} $$

3 step solution

Problem 54

Simplify. $$ \sqrt{80} $$

4 step solution

Problem 55

Simplify. $$ \sqrt{125} $$

4 step solution

Problem 56

Simplify. $$ \sqrt{96} $$

3 step solution

Problem 57

Simplify. $$ \sqrt{200} $$

5 step solution

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