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Common Core: High School - Number and Quantity : The Complex Number System

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

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All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( \sqrt{-3} \right )^{3}$

Possible Answers:

$3\sqrt{3}$

$-3i\sqrt{3}$

$-3\sqrt{3}$

Correct answer:

$-3i\sqrt{3}$

Explanation:

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Example Question #2 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( -2\sqrt{3}\right)\left ( 3\sqrt{-2} \right )$

Possible Answers:

$6\sqrt{6}$

$-6i\sqrt{6}$

Correct answer:

$-6i\sqrt{6}$

Explanation:

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Example Question #11 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( -2\sqrt{-12}\right)\left ( -3\sqrt{-3} \right )$

Possible Answers:

$6i\sqrt{6}$

Correct answer:

Explanation:

10.

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Example Question #12 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( 4\sqrt{-3}\right)\left ( -3\sqrt{-48} \right )$

Possible Answers:

$12\sqrt{3}$

$-12\sqrt{-12}$

144

$12i\sqrt{12}$

Correct answer:

144

Explanation:

11.

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Example Question #13 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$4i\left ( -3i \right )^{2}$

Possible Answers:

-36i

$-12i^{2}$

$12i^{3}$

Correct answer:

-36i

Explanation:

12.

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Example Question #14 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( 3+2i \right )+\left ( 4+6i \right )$

Possible Answers:

7+8i

15i

2+3i

9i+6

Correct answer:

7+8i

Explanation:

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Example Question #15 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( 6+20i \right )+\left ( 8+10i \right )$

Possible Answers:

44i

28+16i

15+20i

14+30i

Correct answer:

14+30i

Explanation:

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Example Question #16 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( 4+2i \right )-\left ( 3+6i \right )$

Possible Answers:

1-4i

-3i

1+8i

7+8i

Correct answer:

1-4i

Explanation:

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Example Question #17 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( 6+5i \right )-\left (2+3i \right )$

Possible Answers:

4+2i

8+8i

11i-5

Correct answer:

4+2i

Explanation:

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Example Question #18 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Simplify.

$\left ( 8+2i \right )-\left ( 4+2i \right )$

Possible Answers:

4i-12

12+4i

10i-6

Correct answer:

Explanation:

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All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: High School - Number and Quantity : The Complex Number System

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #1 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #2 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #11 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #12 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #13 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #14 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #15 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #16 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #17 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

Example Question #18 : Complex I Relationship And The Commutative, Associative, And Distributive Properties: Ccss.Math.Content.Hsn Cn.A.2

All Common Core: High School - Number and Quantity Resources

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