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A quick distribution of a radical into the sum of two numerical terms, one whole and one radical as well.
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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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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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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…
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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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Shows how to ofirst find the coordinates of the vertex, then choose other inputs to find two more points on each side of the vertex, plott them and draw the graph.
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This shows how to simplify the parts of an addition of radicals and then add or subtract the like terms.
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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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Thisi shows how to break down a square root by dividing out perfect squares that can become whole numbers.
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A subtraction of fractionso where the denominators have no factors in common so we simpllly multiply the two together to create the LCD. Then both fractions are adjusted by multiplying each…
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A clarification on what common multiple means and why the least common one is larger than or at least as large as either number or expression. Then there follows an example of two multivariate…
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Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…
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Expands each monomial as a list of all of its prime factors, then showing those that both lists have in common to develope the GCF.
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A multil-variable example where we can gather together like factors and then multiply them as numbers or by adding their exponents. If any negative exponents occur, then the definition of a negative…
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A simplification of a fraction with products and exponents in parentheses raised to an external power
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A short review of these two rules and then an application of them to two multi-factor expressions.
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