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Simplify Radical Expressions and Complex Numbers

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Simplify Radical Expressions and Complex Numbers
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the following expression:

(-2+6i)(2-6i)

32+24i

-32+24i

-32+24i

40

Tags

CCSS.HSN.CN.C.8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Simplify the following expression:

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSN.CN.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Simplify the following expression

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSN.CN.A.3

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Simplify the radical expression.

64⋅ 5⋅ −1\sqrt[]{64}\cdot\ \sqrt[]{5}\cdot\ \sqrt[]{-1}

8i 58i\ \sqrt[]{5}

32 ⋅10\sqrt[]{32\ \cdot10}

4 ⋅ 80  ⋅ i\sqrt[]{4}\ \cdot\ \sqrt[\ \ ]{80}\cdot\ \sqrt[]{i}

6 5 i6\ \sqrt[]{5}\ i

Tags

CCSS.HSN.RN.A.2

5.

DROPDOWN QUESTION

1 min • 1 pt

Simplify. Express answer in a+bia+bi form.

(17+−162)+(−9+−98)\left(17+\sqrt[]{-162}\right)+\left(-9+\sqrt[]{-98}\right)

Step 1 - Rewrite the negative radicals: 17 +17\ + ​ (a)   −9 +-9\ + ​ (b)  

Step 2 - Combine like terms: ​ (c)   ++ ​ (d)  

9 2 i9\ \sqrt[]{2}\ i

7 2i7\ \sqrt[]{2i}

7 2 i7\ \sqrt[]{2}\ i  

88  

2626

16 2 i16\ \sqrt[]{2}\ i  

16 4 i16\ \sqrt[]{4}\ i

32i32i

Tags

CCSS.HSN.CN.A.1

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Simplify. Express your answer in a+bia+bi form.

(−13i +8)−76\left(-13i\ +8\right)-76

*Type answer with NOSPACES!

(a)  

Tags

CCSS.HSN.CN.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify. Answer in a+bia+bi form.

(−9.8i−4.1)+2(4.2−3.4i)+6.7i\left(-9.8i-4.1\right)+2\left(4.2-3.4i\right)+6.7i

4.3−9.9i4.3-9.9i

0.1−6.5i0.1-6.5i

1.1−0.8i1.1-0.8i

4.3−3.3i4.3-3.3i

Tags

CCSS.HSN.CN.A.2

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