Question 1

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Divide.
-

Accepted Answer

A)  2 + 2i 
B)  Undefined 
C)  -2 + 2i 
D)  i

Question 4

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
--

Accepted Answer

A)  5 
B)  -5 
C)  -11.18 
D)  not a real number

Question 5

Write the expression as a complex number in the form a + bi.
-15 +

Accepted Answer

A)   
B)   
C)   
D)  35 + 0i

Question 6

Simplify.
-

Accepted Answer

The answer of Simplify.
-...

Question 7

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

A)   
B)   
C)   
D)  - 8

Question 8

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-

Accepted Answer

A)  100 
B)  -10 
C)  10 
D)  not a real number

Question 9

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)  28x

Question 10

Solve and check your solution(s). If the equation has no real solution, so state.
-

Accepted Answer

A)  -7, -8 
B)  1, 56 
C)  -7, 8 
D)  7, 8

Question 11

Solve. You will have to square both sides of the equation twice to eliminate all radicals.
-

Accepted Answer

A)  0 
B)  2, -2 
C)  -2 
D)  no real solution

Question 12

Write the expression in exponential form. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Solve the problem.
-Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

Accepted Answer

A)   
B)   
C)  25 
D)

Question 14

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-

Accepted Answer

A)   
B)   
C)   
D)  not a real number

Question 15

Solve. You will have to square both sides of the equation twice to eliminate all radicals.
-

Accepted Answer

A)  2 
B)  1 
C)  -1 
D)  no real solution

Question 16

Write the expression in exponential form. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Simplify.
-

Accepted Answer

The answer of Simplify.
-...

Question 18

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Simplify by rationalizing the denominator.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Solve and check your solution(s). If the equation has no real solution, so state.
-

Accepted Answer

A)  0 
B)  8 
C)  -8 
D)  no real solution

Exam 11: Roots, Radicals, and Complex Numbers

Simplify. Assume all variables represent positive real numbers. -

Simplify. -

Divide. -

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. --

Write the expression as a complex number in the form a + bi. -15 +

Simplify. -

Evaluate if possible. If the expression is not a real number, so state. -

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Simplify. -

Solve and check your solution(s) . If the equation has no real solution, so state. -

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Solve the problem. -Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Simplify by rationalizing the denominator. -

Solve and check your solution(s) . If the equation has no real solution, so state. -