AnswersDHS Algebra 2 VAdding and Subtracting Radicals

Adding and Subtracting Radicals Answers

14 verified answers2 views
3

⇒ 6

Answer:

8, 6

5

Which expression equals ?

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6

Find the difference:

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8

Use the for d =

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mc001-1.jpg

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10

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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C
The student simplified incorrectly.
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D
The student incorrectly simplified .
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11

Given that is it ever possible to have Explain.

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Answer:

Yes, it is possible for 𝑎 𝑏 𝑎 𝑏 a ​ b ​ ab ​ , but only in special cases. This happens if either 𝑎 0 a0 or 𝑏 0 b0, because the square root of 0 is 0. For example, if 𝑎 0 a0, then 0 𝑏 0 𝑏 𝑏 0 𝑏 0 ​ b ​ 0 b ​ b ​ 0b ​ . Similarly, if 𝑏 0 b0, the equation also works. In all other cases where both 𝑎 a and 𝑏 b are positive, the sum of the square roots is greater than the square root of the sum.

12

Find the sum .

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13

⇒ 2

Answer:

10, 6

14

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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