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  5. U4 Complex Numbers & Rationalizing The Denominator

U4 Complex numbers & Rationalizing the Denominator

Authored by Melissa Polson

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

U4 Complex numbers & Rationalizing the Denominator
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify.

43\frac{\sqrt[]{4}}{\sqrt[]{3}}  

23\frac{2}{\sqrt[]{3}}  

233\frac{2\sqrt[]{3}}{3}  

102\frac{\sqrt[]{10}}{2}  

255\frac{2\sqrt[]{5}}{5}  

Tags

CCSS.HSN.RN.A.2

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

A
B
C
D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the conjugate of:
6−326-3\sqrt{2}  

6+326+3\sqrt{2}  

32+63\sqrt{2}+6  

6−326-3\sqrt{2}  

18

Tags

CCSS.HSN.CN.A.3

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What should you multiply 61−5\frac{6}{1-\sqrt{5}}  by to rationalize the denominator?

-4

1−51-\sqrt{5}  

1+51+\sqrt{5}  

−(3−35)2-\frac{\left(3-3\sqrt{5}\right)}{2}  

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Rationalize the following: 23+5\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}  

−6+102\frac{-\sqrt{6}+\sqrt{10}}{2}  

6−10−2\frac{\sqrt{6}-\sqrt{10}}{-2}  

6+108\frac{\sqrt{6}+\sqrt{10}}{8}  

23+25−2\frac{2\sqrt{3}+2\sqrt{5}}{-2}  

Tags

CCSS.HSN.RN.A.2

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Rationalize the Denominator:


33−3\frac{3}{3-\sqrt{3}}  

3+33\frac{3+\sqrt{3}}{3}  

2+22+\sqrt{2}  

3+32\frac{3+\sqrt{3}}{2}  

3+33+\sqrt{3}  

Tags

CCSS.HSN.RN.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSN.RN.A.2

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