Beginning & Intermediate Algedra Review
0.7(5.4) Special Factoring Rules
Factor completely .
25) 4Y4 - 81
26) 9x2 - 48x + 64
0.8（10.1） Radical Expressions and Graphs
Find all square roots of the number .
Find the square root .
Find the square of the radical expression .
Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational ,
give its exact value . If the number is irrational, give a decimal approximation to the nearest thousandth.
B) Not a real number
Find the root if it is a real number.
Graph the function and give its domain and its range.
Simplify the root .
Find the decimal approximation fir the radical. Round the answer to three decimal places if necessary.
Solve the problem .
35) A manufacturers cost is given by where C is the cost and n is the number
of parts produced. Find the cost when 8 parts are produced.
Express the radical in simplified form . Assume that all variables represent positive real numbers.
Simplify the radical. Assume that all variables represent positive real numbvers.
Simplify by first writing the radicals with the same index. Then multiply .
Find the unknown length in the right triangle. Simplify the answer if necessary.
Solve the problem.
40) The length of the diagonal of a rectangle is given by where L and W are the
length and width of the rectangle. What is the length of the diagonal ,D, of a rectangle that is
89 inches long and 52 inches wide? Round your answer to the nearest tenth of an inch, if necesssary.
A) 68 inches
B) 72.2 inches
C) 11.9 inches
D) 103.1 inches
Find the distance between the pair of points.
41) (5,-7) and (7,-3)