Adding and Subtracting Radicals

Question 1

Question 21

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-09-05-20-07-task/mc001-3.jpg

Question 2

What is the student’s error?

Revolt · Accepted Answer

The student incorrectly simplified .

Question 3

Given that is it ever possible to have Explain.

Revolt · Accepted Answer

Yes, it is possible for 𝑎 + 𝑏 = 𝑎 + 𝑏 a ​ + b ​ = a+b ​ , but only in special cases. This happens if either 𝑎 = 0 a=0 or 𝑏 = 0 b=0, because the square root of 0 is 0. For example, if 𝑎 = 0 a=0, then 0 + 𝑏 = 0 + 𝑏 = 𝑏 = 0 + 𝑏 0 ​ + b ​ =0+ b ​ = b ​ = 0+b ​ . Similarly, if 𝑏 = 0 b=0, 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.

Question 4

Find the sum .

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-09-05-20-03-task/mc002-5.jpg

Question 5

In simplest terms, Adam can see a√b feet farther than Pam.

Revolt · Accepted Answer

2; 6

Question 6

a = [___], b = [___]

Revolt · Accepted Answer

⇒ 2: 6; 2, 6

Question 7

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

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Answer image: //media.edgenuity.com/EVresources/3111-09-05-20-02-task/mc002-3.jpg

Question 8

Find the sum .

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-09-05-20-03-task/mc002-2.jpg

Question 9

Which of the following did you include in your response?

Revolt · Accepted Answer

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

Adding and Subtracting Radicals Answers

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