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Algebra 2 6-1 Independent Practice: Roots and Radical Expressions

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Last updated about 3 years ago
10 questions
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Question 1
1.

What are all the real square roots of 25?

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Question 2
2.

What are all the real square roots of 0.16?

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Question 3
3.

What are all the real square roots of -64?

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Question 6
6.

Simplify the radical expression.

Question 7
7.

Error Analysis: A student said the only fourth root of 16 is 2. Describe her error. You may use the canvas to help illustrate your written description.

Question 9
9.

Reasoning: A number has only one real nth root. What can you conclude about the index n? You may use the canvas to help illustrate your written response.

Question 10
10.

Reflection: Math Success

Question 4
4.

Simplify the radical expression.
Hint: Keep in mind that b^{2} is never negative.
On the other hand, b can be negative. Use absolute value to ensure that the simplified expression remains equivalent to the original for all values of b.

Question 5
5.

Simplify the radical expression.
Hint: Keep in mind that b^18 is never negative.
b^9, on the other hand, can be negative. Use absolute value to ensure that the simplified expression remains equivalent to the original for all values of b.