Adding and Subtracting Radicals

Question 1

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

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A: ; B: ; D: ; F:

Question 2

Which is a like radical to after simplifying?

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D:

Question 3

Which expression equals ?

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B:

Question 4

Find the difference:

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B:

Question 5

Simplify the following expression completely, where x 0.

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B:

Question 6

Use the for d =

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B:

Question 7

mc001-1.jpg

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C:

Question 8

What is the student’s error?

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D: The student incorrectly simplified .

Question 9

Given that is it ever possible to have Explain.

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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

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.

Question 10

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

Revolt · Accepted Answer

A:

Adding and Subtracting Radicals Answers

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