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Brian McLogan
How to integrate with e in the numerator and denominator
š Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Learn how to simplifying a radical expression by rationalizing denominator
š Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
Breaking down the square root of forty, sqrt(40)
š Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Simplifying Complex Fractions
š Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
Simplify by dividing two rational expressions using factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
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
Dividing rational expressions
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Multiple Examples on Multiplying and Dividing Rational Expressions
Multiple Examples on Multiplying and Dividing Rational Expressions
Brian McLogan
Evaluating the Composition of Two Functions, Linear and Rational
Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of the functions with the value of the...
Brian McLogan
Divide a linear function by a square root function to find domain
š Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to step by step simplify a complex fraction
š Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Brian McLogan
How to simplify a radical expression by rationalizing the denominator
š Learn how to find the 4th root of rational expressions. To find the 4th root of a rational expression, we first express the rational expression as the 4th root of the numerator divided by the 4th root of the denominator. Next we...
Brian McLogan
How to evaluate a number to a negative rational power
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Finding the rule a series
š Learn how to write the rule of a series in sigma notation. A series is the sum of the terms of a sequence. When given a series that is neither arithmetic nor geometric, we can write the rule for the series by first identifying the...
Brian McLogan
Applying the Rational Zero test to identify all of the rational zeros of a polynomial
š Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
Algebra 2 - Learn how to divide an imaginary number by a complex number by rationalizing denominator
In this video playlist you will learn everything you need to know with complex and imaginary numbers i/(4-i)
Brian McLogan
Adding complex rational expressions and simplifying the answer
In this video series I will show you how to add and subtract rational expressions. When adding and subtracting fractions it is important for us only to combine terms when they have the same denominator. This holds true for rational...
Brian McLogan
Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Curated Video
Multiplying a Whole Number by a Unit Fraction Using the Number Line
Multiply a whole number (a) by a fraction of the form (1/b) and recognize the equivalence of aĆ(1/b) and a/b on the number line.
Curated Video
Subtracting Rational Numbers
In this video lesson we will learn that we use the same rule for subtracting rational numbers as we did for subtracting integers. We will rewrite the subtraction problem to be an addition problem by adding the opposite value. Fondly...
Curated Video
Invisible Ones in Math
This video lesson will identify the many invisible 1's in math. The intent is to review and fully understand values written as fractions and variables. This lesson will also provide a base for introducing exponents.
KnowMo
Introduction to Percentages and Conversions
This is a lecture style video that provides an introduction to percentages. The instructor explains what a percentage is and how it is closely linked to fractions and decimals. They provide real-world examples of how percentages are...
Brian McLogan
How to determine the difference between two fractions with same denominators
š Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then...
Brian McLogan
Fraction Misconception: Adding numerator & denominator with unlike denominators
š Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...