AnswersDHS Algebra 2 VAdding and Subtracting Radicals

Adding and Subtracting Radicals Answers

10 verified answers1 views
4

Which expression equals ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What is the student’s error?

A
The student should not have multiplied each expression by two.
Option A
B
The student simplified incorrectly.
Option B
C
The student simplified incorrectly.
Option C
D
The student incorrectly simplified .
Option D
8

Given that is it ever possible to have Explain.

Question illustration
Answer:

Yes, it is possible for π‘Ž + 𝑏 = π‘Ž + 𝑏 a ​ + b ​ = a+b ​ , but only in special cases. This happens if either π‘Ž = 0 a=0 or 𝑏 = 0 b=0, because the square root of 0 is 0. For example, if π‘Ž = 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 π‘Ž a and 𝑏 b are positive, the sum of the square roots is greater than the square root of the sum.

9

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.
10

Find the sum .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

Did you find these answers helpful?

Adding and Subtracting Radicals Answers β€” DHS…