Search for tag: "rational"

Solving rational equations that simplify to quadratic: Binomial denominators & numerators

A The key to solving this kind of equation is multiplying through by the least common denominator to eliminate the fractions first, Then it is a matter of combining like terms on one side of the…

From  Tom Grant 58 plays 0  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…

From  Tom Grant 18 plays 0  

Rationalizing a denominator: Quotient involving square roots

This shows how to multiply by a form of one created by using the irrational denominaor to multiply by the top and the bottom of the fraction creating a whole number denominaor.

From  Tom Grant 9 plays 0  

Adding rational expressions with linear denominators without common factors: Basic

A subtraction of fractionso where the denominators have no factors in common so we simpllly multiply the two together to create the LCD. Then both fractions are adjusted by multiplying each…

From  Tom Grant 9 plays 0  

Adding rational expressions with linear denominators with common factors: Basic

This shows how to determine a common denominator when the denominators share at least one factor. A numerical version is included for more understanding, and the rational expressions are added and…

From  Tom Grant 22 plays 0  

Multiplying rational expressions made up of linear expressions

This is a quick example of factoring the numerator and denominator of a combined fraction where all the factors are separated in order to find those that divide to one.

From  Tom Grant 5 plays 0  

Multiplying rational expressions involving multivariate monomials

A short reminder of how to reduce first and then multiply two numerical fractions. Then we apply the same priciples to reducing like factors in an example with more than one variable and numerical…

From  Tom Grant 5 plays 0  

Identifying numbers as rational or irrational

A brief description of the difference between rational and irrational numbers followed by examples of number in both categories.

From  Tom Grant 22 plays 0  

Rationalizing a denominator: Quotient involving a monomial

Two quick demonstratoins of a rational expression containing radicals being ratioinalized by multiplication of a form of one to transform a radical in the denominantor to a whole number.

From  Tom Grant 18 plays 0  

Rationalizing a denominator: Square root of a fraction

This discusses what rationals and irratioinals are, then goes on to demonstrate how to eliminate any radical number in the denominator.

From  Tom Grant 8 plays 0  

Rationalizing a denominator: Square root of a fraction

This video shows how to multiplly the top and bottom of a square root of a fraction to get the result of a rational number in the denominator.

From  Tom Grant 11 plays 0  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

Here we solve a rational equation by multiplying each of the terms in the equation by the LCD of all of the fractions. This allows us to divide to one all of the factors in the denominators and the…

From  Tom Grant 10 plays 0  

Solving a rational equation that simplifies to linear: Factorable quadratic denominators

Demonstrates using factoring skills to separate and identify all of the necessary factors that make the LCD (Least common denominator) that can be used as a multiplier through a rational equation to…

From  Tom Grant 18 plays 0  

Solving a rational equation that simplifies to linear: Unlike binomial denominators

Shows how to find a common denominator to use as a multiplier for each term in a rational equation (an equation with fractions) to then eliminate the denotminators and the result will be a more…

From  Tom Grant 23 plays 0  

Solving a rational equation that simplifies to linear: Like binomial denominators

This has two examples so that you can learn to watch out for what looks like a solution but is not because it creates division by zero if you check the answer in the original equation. The other…

From  Tom Grant 38 plays 0  

Solving a rational equation that simplifies to linear: Denominators a, x, or ax

Demonstrates multiplying each term in a rational equation by the least common denominator of all fractions so that the denominators can be eliminated and the resulting linear equation can then be…

From  Tom Grant 23 plays 0