Adding and Subtracting Radicals Answers
Which of the following are like radicals? Check all of the boxes that apply.
What is the radical part of both [image 1] and [image 2] when the expressions are simplified?
Which is a like radical to after simplifying?
Which expression equals ?
Find the difference:
Simplify the following expression completely, where x [image 1] 0. [image 2]
Use the for d =
Question text not available
What is the student’s error?
Given that [image 1] is it ever possible to have [image 2] Explain.
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.
Which of the following did you include in your description?
Find the sum .
⇒ 2
2
Which of the following did you include in your response?
⇒ 6
6
Three radical expressions have different radicands and, when simplified, are like radicals to .Describe key characteristics of these radical expressions.
Each expression is a square root. Its radicand has a numerical coefficient equal to 3 times a perfect square, and both x and y have odd exponents. After taking out perfect-square factors, the remaining radical is √(3xy).
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