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Simplifying a product involving square roots using the distributive property: Basic

Two examples of distributing radicals into a sum of other radicals and simplifying in the process.

From  Tom Grant 11 plays 0  

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  

Solving a rational equation that simplifies to quadratic: Proportional form, advanced

This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …

From  Tom Grant 10 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 57 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 17 plays 0  

Word problem involving radical equations: Advanced

Demonstrates how to solve for a variable under the radical that needs to isolated first after entering the given value for the other variable in a formula.

From  Tom Grant 6 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  

Solving a word problem using a quadratic equation with irrational roots

Shows how to substitite the given value for the output variable, then rearranges the resulting equation in standard form. Values for a, b, and c are identified and then entered into the quadratic…

From  Tom Grant 33 plays 0  

Solving an exponential equation by finding common bases: Linear exponents

Shows how to create common bases so that then the exponents can be set equal to each other and that equation can be solved.

From  Tom Grant 22 plays 0  

Finding the final amount in a word problem on compound interest

This video gives the formula for calculating compound interest and then demonstrates how to calculate the future amount after a given number of years.

From  Tom Grant 11 plays 0  

Word problem involving the maximum or minimum of a quadratic function

This video explains the situation we are trying to minimize or maximize and the role of the input and output variables. Then the process of finding the location and value of the requested amount is…

From  Tom Grant 11 plays 0  

Simplifying a quotient of square roots

Shows that the division of sqaure roots is equivalent to the square root of a fraction, and then simplifies the fraction to complete the task.

From  Tom Grant 8 plays 0  

Simplifying a sum or difference of radical expressions: Univariate

This includesradicals that contain variable factors, but continues the simplification of various terms in a sum or difference so that possible like terms can be added orsubtracted.

From  Tom Grant 7 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