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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  

Introduction to simplifying a product of higher roots

In this example, the multiplication of two fourth-roots of numbers is shown and the reduction of the result

From  Tom Grant 11 plays 0  

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 8 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 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  

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 30 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  

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