Adding and Subtracting Radicals

Question 1

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

Revolt · Accepted Answer

mr001-1.jpg; mr001-2.jpg; mr001-4.jpg; mr001-6.jpg

Question 2

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

Revolt · Accepted Answer

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

Question 3

⇒ 6

Revolt · Accepted Answer

2, 6

Question 4

Which is a like radical to after simplifying?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-09-05-20-02-task/mc001-5.jpg

Question 5

Which expression equals ?

Revolt · Accepted Answer

mc001-4.jpg

Question 6

Find the difference:

Revolt · Accepted Answer

mc001-3.jpg

Question 7

Use the for d =

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-09-05-20-06-task/mc001-3.jpg

Question 8

mc001-1.jpg

Revolt · Accepted Answer

mc001-3.jpg

Question 9

What is the student’s error?

Revolt · Accepted Answer

The student incorrectly simplified .

Question 10

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.

Adding and Subtracting Radicals Answers

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