AnswersDHS Algebra 2 VAdding and Subtracting Radicals

Adding and Subtracting Radicals Answers

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Which of the following are like radicals? Check all of the boxes that apply.

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What is the radical part of both and when the expressions are simplified?

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Which is a like radical to after simplifying?

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Which expression equals ?

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Find the difference:

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Simplify the following expression completely, where x 0.

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Use the for d =

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Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon?

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Blank 1:2, 6
Blank 2:2, 6
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What is the student’s error?

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The student should not have multiplied each expression by two.
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The student simplified incorrectly.
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The student simplified incorrectly.
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The student incorrectly simplified .
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Given that is it ever possible to have Explain.

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Yes. It is possible when either a or b equals zero. Since √0 = 0, adding zero to a radical or to its radicand does not change the value.

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Which of the following did you include in your response?

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Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.
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If either a or b equals zero, then the sums would be the same.
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Since the square root of 0 is 0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.
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Three radical expressions have different radicands and, when simplified, are like radicals to .Describe key characteristics of these radical expressions.

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Each expression has an index of 2; its radicand has a numerical coefficient equal to 3 times a perfect-square number; and the exponents of both x and y in the radicand are odd.

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Which of the following did you include in your description?

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The index is 2.
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The numeric coefficient of the radicand is three times a perfect-square number.
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The variable x in the radicand is raised to an odd power
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The variable y in the radicand is raised to an odd power.
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Find the sum .

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