Search for tag: "root"

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.

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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.

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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

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From  Tom Grant 12 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.

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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.

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From  Tom Grant 9 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.

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From  Tom Grant 9 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.

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From  Tom Grant 9 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.

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From  Tom Grant 6 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.

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From  Tom Grant 9 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.

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From  Tom Grant 16 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…

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From  Tom Grant 41 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.

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From  Tom Grant 14 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.

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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.

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From  Tom Grant 9 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.

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From  Tom Grant 18 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.

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From  Tom Grant 9 plays 0