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

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10 questions
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What are all the real square roots of 25?

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What are all the real square roots of 0.16?

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What are all the real square roots of -64?

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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.

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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.

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Simplify the radical expression.

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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.

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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.

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Reflection: Math Success