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.

From  Tom Grant 4 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  

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  

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.

From  Tom Grant 13 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.

From  Tom Grant 14 plays 0