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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C:

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

Question 7

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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.

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 10

Which of the following did you include in your description?

Revolt · Accepted Answer

PENDING

Adding and Subtracting Radicals Answers

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