Simplifying Radicals: Key Concepts and Techniques

Simplifying Radicals: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
8.EE.A.2, 6.EE.A.1, 8.NS.A.1

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.8.EE.A.2
,
CCSS.6.EE.A.1
,
CCSS.8.NS.A.1
This video tutorial covers simplifying radical expressions, starting with basic vocabulary such as radicals, square roots, and surds. It explains the concept of perfect squares and provides rules for simplifying radicals. The tutorial also demonstrates methods for simplifying non-perfect square radicals using factorization. Finally, it offers practice problems and homework instructions to reinforce learning.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term used to describe the symbol that represents the operation of finding roots?

Variable

Radical sign

Exponent

Coefficient

Tags

CCSS.6.EE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If no number is visible in the radical sign, what number is assumed to be there?

0

1

3

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of number is a 'surd'?

Rational number

Natural number

Irrational number

Integer

Tags

CCSS.8.NS.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a perfect square?

18

25

50

99

Tags

CCSS.8.EE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 16?

5

4

3

2

Tags

CCSS.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression √18 be simplified?

2√3

3√2

3√3

4√2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying the expression √50 using a factor tree?

7√2

5√3

2√5

5√2

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