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

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What are all the real square roots of 25?

A

B

C

D

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What are all the real square roots of 0.16?

A

B

C

D

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What are all the real square roots of -64?

A

B

C

D

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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.

A

B

C

D

A.SSE.2

10

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.

A

B

C

D

A.SSE.2

10

Simplify the radical expression.

A

B

C

D

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10

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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10

Reflection: Math Success

A.SSE.2

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

What are all the real square roots of 25?

What are all the real square roots of 0.16?

What are all the real square roots of -64?

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.

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.

Simplify the radical expression.

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.

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.

Reflection: Math Success

What are all the real square roots of 25?

What are all the real square roots of 0.16?

What are all the real square roots of -64?

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.

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.

Simplify the radical expression.

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.

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.

Reflection: Math Success

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.

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.

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.

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.