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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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Two examples are shown here, one relatively easy, then one with some fractions involved.
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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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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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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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Thisi shows how to break down a square root by dividing out perfect squares that can become whole numbers.
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Shows how square rooting is the opposite of squariing
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Squaring both sides of this equation means squaring a binomial. This is demonstrated by this video.
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This demonstrates how to solve an equation where two radicals are equal and there are no other terms on either side of th equation
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This video shows how to multiplly the top and bottom of a square root of a fraction to get the result of a rational number in the denominator.
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This describes what to look for when simplifying radicals.
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Application of the equation relating the three sides of a right triangle:: a^2 + b^2 = c^2 where a and b are the shorter sides that make the rigiht angle and c is the lenght of the longest side.
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A quick run through the use of a^2 + b^2 = c^2 to find an unknown side of a right tirangle if we know the other two sides.
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