Beginning Algebra, 11th Edition

Simplify where possible.

Solve each problem.

15.Find the measure of the unknown leg of this right triangle.

(a)Give its length in simplified radical form.

(b)Give the length to the nearest thousandth.

16.In electronics, the impedance Zof an alternating

series circuit is given by the formula

where Ris the resistance and Xis the reactance, both

in ohms. Find the value of the impedance Zif

40 ohms and ohms. (Source:Cooke, Nelson

M., and Orleans, Joseph B., Mathematics Essential to

Electricity and Radio,McGraw-Hill.)

Rationalize each denominator.

21.Write in lowest terms.

Solve each equation.

26.Concept Check Consider the following “solution.”WHAT WENT WRONG?

Subtract 5.

Square both sides.

Subtract 1.

Divide by 2.

The solution set is.

Simplify each expression.

13 1/4 23

3 7/4

8 4/3 - 125 2/3 5 3/4# 5 1/4

5126

x= 12

2 x= 24

2 x+ 1 = 25

22 x+ 1 =- 5

22 x+ 1 + 5 = 0

32 x- 1 = 2 x 22 x+ 9 + 2 x+ 5 = 2

22 x+ 6 + 4 = 2 2 x+ 1 = 5 - x

2 + 28

4

• 3
  4 - 23


• 2
  B 234

2

3 x

522

27

X= 30

R =

Z= 2 R^2 +X^2 ,

B

3

2

3

2316 x^4 - 223128 x^4

A^25 +^26 B

2

A^6 -^25 BA^6 +^25 B A^2 -^27 BA^322 +^1 B

3228 + 263 3227 x- 4248 x+ 223 x 2332 x^2 y^3

20218

523

2332

B

128

25

550 CHAPTER 8 Roots and Radicals

9 in.

3 in.

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