Search for tag: "perfect square"

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  

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  

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.

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From  Tom Grant 22 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.

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From  Tom Grant 8 plays 0  

Square roots of a perfect square monomial

Shows how to create squares under the square root so that both the exponent of two and the square root will elminiate each other.

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From  Tom Grant 16 plays 0  

Factoring a perfect square trinomial with leading coefficient 1

One of the simpler factoring techniques if you know what you are looking for.

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From  Tom Grant 14 plays 0