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Exploring Operations with Radicals

Exploring Operations with Radicals

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

Created by

Jackson Turner

FREE Resource

This video tutorial covers the basics of adding, subtracting, and multiplying radicals. It explains the importance of having the same root and radicand for addition and subtraction, and demonstrates how to simplify radicals by breaking them down into pairs. The tutorial also covers the multiplication of radicals, emphasizing the process of multiplying outside and inside numbers separately. Several examples are provided to illustrate these concepts, including more complex problems that require distribution and further simplification.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be the same in order to add or subtract radicals?

The root and radicand

The exponents

The variables

The coefficients

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you have 1√5 + 2√5, what is the result?

1√10

3√10

3√5

2√5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can √18 be simplified?

3√2

2√9

√36

√9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 12√2 - 1√2?

13√2

10√2

11√2

11√4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 10√3 + 6√3?

16√6

16√3

6√3

10√9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying radicals, what should you multiply together?

The exponents

Only the coefficients

Only the radicands

Outside numbers with outside numbers and inside numbers with inside numbers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 2√5 * 3√10?

6√50

5√30

6√15

30√2

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