Search for tag: "numbers"

Introduction to simplifying a product involving square roots using the distributive property

A quick distribution of a radical into the sum of two numerical terms, one whole and one radical as well.

From  Tom Grant 7 plays 0  

Introduction to simplifying a product of radical expressions: Univariate

Just a quick couple of examples, one explaining the relationship between squaring and square rooting and one that just shows how to multiply two radical expressions that need no reduction.

From  Tom Grant 8 plays 0  

Solving an equation of the form x^2 = a using the square root property

Discusses the square root property, then encourages the viewer to write a list of perfect squares in the marginfor reference. Lasly, three examples are presented and solved.

From  Tom Grant 7 plays 0  

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 radical equation that simplifies to a quadratic equation: One radical, advanced

Describes how to approach solving a radical eqaution, then demonstrates the stepss needed. It finishes with a check of the answers, stressing that this is an essential step.

From  Tom Grant 13 plays 0  

Graphing a parabola of the form y =- ax^2 + bs + c: Integer coefficients

Shows how to ofirst find the coordinates of the vertex, then choose other inputs to find two more points on each side of the vertex, plott them and draw the graph.

From  Tom Grant 5 plays 0  

Square root addition or subtraction with three terms

This shows how to simplify the parts of an addition of radicals and then add or subtract the like terms.

From  Tom Grant 13 plays 0  

Square root addition or subtraction

This shows how to simplify square roots in an additon problem so that hopefully you get like terms and con simplify further.

From  Tom Grant 9 plays 0  

Simplifying the square root of a whole number less than 100

Thisi shows how to break down a square root by dividing out perfect squares that can become whole numbers.

From  Tom Grant 18 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  

Least common multiple of two monomials

A clarification on what common multiple means and why the least common one is larger than or at least as large as either number or expression. Then there follows an example of two multivariate…

From  Tom Grant 8 plays 0  

Solving an equation written in factored form

Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…

From  Tom Grant 15 plays 0  

Greatest common factor of two multivariate monomials

Expands each monomial as a list of all of its prime factors, then showing those that both lists have in common to develope the GCF.

From  Tom Grant 23 plays 0  

Product Rule witih negative exponents

A multil-variable example where we can gather together like factors and then multiply them as numbers or by adding their exponents. If any negative exponents occur, then the definition of a negative…

From  Tom Grant 8 plays 0  

Power and quotient rules with positive exponents

A simplification of a fraction with products and exponents in parentheses raised to an external power

From  Tom Grant 7 plays 0  

Power and product rules with positive exponents

A short review of these two rules and then an application of them to two multi-factor expressions.

From  Tom Grant 8 plays 0