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Brian McLogan
Overview of solutions of a quadratic function and the discriminant
π Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Brian McLogan
Classifying real numbers, -1.876
π Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Brian McLogan
Learn how to solve using the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Algebra 2 - Why do we rationalize the denominator with complex numbers, (6 + 8i)/9i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Flipping Physics
Defining Pi for Physics
Pi is defined as the ratio of the circumference of a circle to its diameter. A frisbee is used to show the definition of pi. The units for pi, radians, are discussed. The conversion factor between revolutions, degrees, and radians is...
Curated Video
Simplifying Expressions with Square Roots
In this video, the teacher explains how to simplify expressions involving square roots. They demonstrate how to identify perfect square factors and split the square root into smaller terms to simplify it. The teacher also explains the...
Brian McLogan
Graphing a natural logarithmic equation using reflection
π Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Why U
Pre-Algebra 33 - Real Numbers
There are an infinite number of rational numbers, but there are infinitely more irrational numbers. Neither type of number can represent every type of numeric quantity. By combining the rational and irrational numbers into the real...
Brian McLogan
Solve a quadratic by applying the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Curated Video
Adding and Subtracting Rational and Irrational Numbers
This video explains how to predict the result of adding and subtracting rational and irrational numbers by looking at general cases algebraically. It covers the definitions of rational and irrational numbers and emphasizes that adding...
Let's Tute
Representation of Irrational Numbers on Number Line
This video explains how to represent irrational numbers on the number line using the spiral method with Pythagoras theorem. It provides step-by-step instructions and examples, including how to represent root 5 and root 6 on the number...
Brian McLogan
Ordering from least to greatest
π Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Brian McLogan
How to rationalize the denominator with a radical
π Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Dividing a integer by a radical
π Lean how to divide rational expressions with a radical in the denominator. To divide rational expressions with a radical in the denominator, we rationalize the denominator by multiplying both the numerator and denominator by the...
Curated Video
Finding the Volume of Spheres: Solving Real World Problems
In this video, the teacher explains how to solve real-world problems involving spheres by finding their volume. Using the example of a water tank shaped like a sphere, the teacher guides students through the process of determining the...
Curated Video
Rationalizing the Denominator: Techniques and Examples
This video is a tutorial on how to rationalize the denominator of fractions containing square roots. The host explains the concept of irrational numbers and how it can be difficult to calculate with fractions that have irrational...
Brian McLogan
Tutorial - How do we divide complex numbers, 8/i
In this video series I will show you how divide complex numbers. We do this by eliminating the imaginary number on the denominator by producing equivalent fractions. We do this by multiplying i if we have an imaginary number on the...
Brian McLogan
Why do I need to know the difference of real numbers
π Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Let's Tute
Operations on Real Numbers: Addition and Subtraction
The video is a lesson on rational and irrational numbers and their mathematical operations. The teacher explains the difference between rational and irrational numbers and how they can be added and subtracted. The lesson includes...
Brian McLogan
Introduction to rationalizing the denominator to simplify a radical expression
π Learn how to divide rational expressions with a radical in the denominator. To divide rational expressions with a radical in the denominator, we rationalize the denominator by multiplying both the numerator and denominator by the...
Brian McLogan
Approximate the square root
π Learn how to simplify radical expressions. In this playlist we will explore simplifying radical expressions by prime factorization and rules of exponents. We will explore the square root, cube root as well as the fourth root of numbers...
Curated Video
How to Classify Real Numbers
This lesson reviews key vocabulary of real numbers. A Venn Diagram is used to classify real numbers. You will learn how to use vocabulary words - whole, integer, rational, irrational and real to classify numbers.
Grade 8...
Grade 8...
Curated Video
Classifying Real Numbers
In this video lesson we will learn how to identify numbers as real, irrational, rational, integer and whole. We will review the definitions of each of the sets of numbers and understand how to use what we know to classify values. We...
Let's Tute
The History and Types of Numbers: From Tally Marks to Real Numbers
This video explains the history and development of numbers, from tally marks to the invention of zero and the creation of different types of numbers such as natural, whole, integers, rational, and irrational. It also discusses the...