AnswersDHS Algebra 2 VAdding and Subtracting Radicals

Adding and Subtracting Radicals Answers

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Given that [image 1] is it ever possible to have [image 2] Explain.

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Yes. It is possible when one radicand is zero and the other is nonzero. For example, if a = 0 and b = 1, then √a + √b = 0 + 1 = 1 = √(a + b), even though a ≠ b.

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Which of the following did you include in your description?

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

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24

What is the radical part of both [image 1] and [image 2] when the expressions are simplified?

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Find the sum .

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Which of the following did you include in your response?

A
Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.
B
If either a or b equals zero, then the sums would be the same.
C
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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