Search for tag: "half"

Simplifying a product of radical expressions: Multivariate

The combining of like factors from two radicals into one and then the simplification of the result.

From  Tom Grant 9 plays 0  

Simplifying a product of radical expressions: Univariate

A short demonstration of multiplying and then reducing the result when presented with the product of two radical expressions.

From  Tom Grant 9 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 quadratic equation by completing the square: Exact Answers

Two examples are shown here, one relatively easy, then one with some fractions involved.

From  Tom Grant 4 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  

Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c

Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph.

From  Tom Grant 6 plays 0  

Simplifying a radical expression with an odd exponent

Shows how to separate out the persct square so they can become whole numbers or expression leaving the remaining factors under the square root.

From  Tom Grant 18 plays 0  

Simplifying a radical expression with an even exponent

Demonstrats how to free all perfect squar in a radical expression so they are whole.

From  Tom Grant 8 plays 0  

Rational exponents: Quotient Rule

Demonstrates how the quotient rule for exponents is applied the same way to rational exponents.

From  Tom Grant 14 plays 0  

Rational exponents: Unit fraction exponents and bases involving signs

Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood.

From  Tom Grant 22 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  

Finding a final amount in a word problem on exponential growth or decay

This demonstrates how to write the function that includes the initial amount multiplied by the percent remaining or the initial amount multiplied by one plus the percent increase, with either being…

From  Tom Grant 7 plays 0  

Table for an exponential function

Shows how to plug in the given x--values and get values for f(x) = b^x

From  Tom Grant 6 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  

Simplifying a procuct of radical expressions: Multivariate

Multiplication of two radicals by pairing all numbers after prime factorization and taking half of all even exponents with variables as a base.

From  Tom Grant 8 plays 0  

Simplifying a product of radical expressions: Univariate

Multiplying two radical expressions by showing the factorization of the numbers and using even exponents to remove variable factors.

From  Tom Grant 10 plays 0