Algebra II : Irrational Numbers
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #60 : Number Theory
Simplify
To simplify we need to remove the complex number from the denominator. To do this our first step is to multiply the expression by the complex conjugate of the denominator.
Multiply the binomials in the numorator and the denominator. You may use the FOIL method.
We know that 
Combine like terms
Example Question #61 : Number Theory
Write the following expression in the standard form for a complex number
Multiply Binomials ( you may use the FOIL method)
We know that 
combine like terms
Distribute the i
We know that 
Swich to standard form
Example Question #62 : Number Theory
What is the sum of 
Distribute the negative
Combine like terms
Example Question #63 : Number Theory
Add and combine:
To simplify the irrational numbers as a single fraction, we will need a common denominator by multiplying the denominators together.
The term 
The answer is:
Example Question #64 : Number Theory
Which of the following is considered an irrational number?
The irrational numbers do not have a representation of a ratio between two numbers. They cannot be expressed by a fraction.
Repeating decimal numbers are not irrational because they can be rewritten as a fraction.
For instance:
The number 
The answer is:
Example Question #5112 : Algebra Ii
The complex conjugate for an irrational binomial number with a radical is simply the original with the sign of the radical changed.
Example Question #62 : Number Theory
Which of the below is a rational number?
Example Question #63 : Number Theory
Example Question #68 : Number Theory
Which of the following is an irrational number?
Irrational numbers cannot be expressed as a ratio of two numbers. They can be decimal numbers that go on forever without repeating.
Do not mix fixed numbers with symbolic values such as 
The value of the sine angle 
Square root numbers and complex numbers might not necessary be irrational after their simplified form.
The correct answer is:
Example Question #69 : Number Theory
Which of the following numbers are irrational?
Irrational numbers are numbers that cannot be rewritten as a fraction of two numbers.
Be careful with numbers that may look as though they are irrational, such as 
Irrational numbers cannot include continuous numbers such as 
Some of the radicals in the answers are not fully simplified.
The term 
The correct answer is:
Certified Tutor
All Algebra II Resources
