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Simplify Radicals and Operations with Radicals

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Used 3+ times

Simplify Radicals and Operations with Radicals
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20 questions

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1.

OPEN ENDED QUESTION

1 min • 1 pt

Here's a "proof," using nothing but radicals, that −1 = 1-1\ =\ 1 :

−1 =−1⋅−1 = −1⋅−1-1\ =\sqrt{-1}\cdot\sqrt{-1}\ =\ \sqrt{-1\cdot-1}   
=1 = 1=\sqrt{1\ }=\ 1  

Which step contains the mistake? Explain why. Consider the first equals sign to be the first step, the second equals sign to be the second step, and so on.

Evaluate responses using AI:

OFF

Tags

CCSS.HSN.RN.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

√3

7√3

Can't Simplify

6√15

6√3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Kami is simplying a radical. Her work is below: Which statement best represents her work?

It is incorrect because 64≠4⋅16\sqrt[]{64}\ne\sqrt[]{4\cdot16}  

Removing the 4 from under the radical in the second step is incorrect or invalid.

The work shown above is correct; however,   2162\sqrt[]{16}  may be simplified further.

The work shown above is correct, and 2162\sqrt[]{16}   may not be simplified further.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Simplify:

4√30

√4√30

√2√30

2√30

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSN.RN.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Simplify.

A

B

C

D

Tags

CCSS.HSN.RN.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Simplify

A

B

C

D

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