Chapter 8

Elementary Algebra · 283 exercises

Problem 3

Multiply. (Assume all variables are non negative.) $$ 2 \sqrt{1} \cdot 6 \sqrt{1} $$

3 step solution

Problem 4

Express using rational exponents. $$ 2 \sqrt{4} $$

5 step solution

Problem 4

Solve. $$ x \sqrt{+4}=9 $$

4 step solution

Problem 5

Simplify. $$125--\sqrt{3}$$

3 step solution

Problem 5

Multiply. (Assume all variables are non negative.) $$ 7 \sqrt{7} \cdot 7 $$

4 step solution

Problem 6

Simplify. $$3-8--\sqrt{3}$$

4 step solution

Problem 6

Express using rational exponents. $$ 23--\sqrt{4} $$

4 step solution

Problem 7

Simplify. $$164--\sqrt{3}$$

3 step solution

Problem 7

Express using rational exponents. $$ x \sqrt{5} $$

3 step solution

Problem 7

Solve. $$ 5 x \sqrt{-1}=0 $$

4 step solution

Problem 8

Simplify. $$-5-27--\sqrt{3}$$

4 step solution

Problem 8

Express using rational exponents. $$ x \sqrt{6} $$

4 step solution

Problem 8

Solve. $$ 3 x+2=0 $$

2 step solution

Problem 11

Multiply. (Assume all variables are non negative.) $$ 2 x-\sqrt{2} \cdot 2 x-\sqrt{1} $$

4 step solution

Problem 11

Express in radical form. $21 / 2$

6 step solution

Problem 12

Express in radical form. $51 / 3$

3 step solution

Problem 12

Solve. $$ 5 x-4-\quad V=4 $$

2 step solution

Problem 13

Simplify. $46 \sqrt{3}-35 \sqrt{3}+66 \sqrt{3}$

3 step solution

Problem 14

Simplify. $10--\sqrt{3}+510--\sqrt{3}-410--\sqrt{3}$

4 step solution

Problem 14

Simplify. $$2-54---\sqrt{3}$$

5 step solution

Problem 15

Simplify. $(79 \sqrt{3}-43 \sqrt{3})-(9 \sqrt{3}-33 \sqrt{3})$

4 step solution

Problem 15

Simplify. $$49 x 2---\sqrt{1}$$

4 step solution

Problem 15

Express in radical form. $x 3 / 4$

3 step solution

Problem 15

Solve. $$ 2 x-1-\sqrt{-3}=0 $$

3 step solution

Problem 16

Simplify. $(-85 \sqrt{3}+25--\sqrt{3})-(25 \sqrt{3}+625--\sqrt{3})$

5 step solution

Problem 16

Express in radical form. $x 5 / 6$

3 step solution

Problem 16

Solve. $$ 3 x+1-\sqrt{-2}=0 $$

4 step solution

Problem 17

Multiply. (Assume all variables are non negative.) $$ 5 \sqrt{3} \cdot 25-\sqrt{3} $$

4 step solution

Problem 17

Solve. $$ x \sqrt{3}=2 $$

3 step solution

Problem 18

Multiply. (Assume all variables are non negative.) $$ 4 \sqrt{3} \cdot 2 \sqrt{3} $$

4 step solution

Problem 18

Solve. $$ x \sqrt{3}=5 $$

4 step solution

Problem 19

Multiply. (Assume all variables are non negative.) $$ 4 \sqrt{3} \cdot 10-\sqrt{3} $$

5 step solution

Problem 19

Solve. $$ 2 x+9-\sqrt{3}=3 $$

2 step solution

Problem 20

Simplify. (Assume all radicands containing variable expressions are positive.) $10 y 2 x \sqrt{-1} 2 y 2 x \sqrt{-2 y 2 x}$

5 step solution

Problem 20

Multiply. (Assume all variables are non negative.) $$ 18--\sqrt{3} \cdot 6 \sqrt{3} $$

6 step solution

Problem 20

Express in radical form. $(1 x)-3 / 5$

4 step solution

Problem 20

Solve. $$ 4 x-11-\sqrt{3}=1 $$

3 step solution

Problem 21

Simplify. $$ 27--\sqrt{3} $$

2 step solution

Problem 21

Multiply. (Assume all variables are non negative.) $$ (59 \sqrt{3})(26 \sqrt{3}) $$

4 step solution

Problem 21

Write as a radical and then simplify. $251 / 2$

3 step solution

Problem 21

Solve. $$ 5 x+7-\sqrt{3}+3=1 $$

4 step solution

Problem 22

Simplify. $$ 27--\sqrt{3} $$

3 step solution

Problem 22

Multiply. (Assume all variables are non negative.) $$ (24 \sqrt{3})(34 \sqrt{3}) $$

4 step solution

Problem 22

Write as a radical and then simplify. $361 / 2$

3 step solution

Problem 22

Solve. $$ 3 x-6 \quad-\sqrt{3}+5=2 $$

4 step solution

Problem 23

Simplify. $$27 a 7 b 5 c 3-c-\sqrt{3}$$

4 step solution

Problem 23

Simplify. $$ 64--\sqrt{3} $$

3 step solution

Problem 23

Multiply. (Assume all variables are non negative.) $$ (22 \sqrt{3}) 3 $$

5 step solution

Problem 23

Write as a radical and then simplify. $1211 / 2$

3 step solution

Problem 23

Solve. $$ 2 x+2-\sqrt{3}-1=0 $$

3 step solution

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