Simplifying Radicals (with Variables)

Simplifying Radicals (with Variables)

Assessment

Flashcard

Mathematics

10th - 11th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, typically the square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

How do you simplify a square root of a product?

Back

To simplify a square root of a product, you can separate the square root into the product of the square roots of each factor: √(ab) = √a * √b.

3.

FLASHCARD QUESTION

Front

What is the process for simplifying square roots with variables?

Back

To simplify square roots with variables, factor the expression under the radical into perfect squares and apply the square root to those factors.

4.

FLASHCARD QUESTION

Front

How do you handle absolute values when simplifying square roots of variables?

Back

When simplifying square roots of variables, use absolute values to ensure the result is non-negative, as square roots are defined to be non-negative.

5.

FLASHCARD QUESTION

Front

What is the cube root of a negative number?

Back

The cube root of a negative number is also negative, as odd roots can be taken of negative values.

Tags

CCSS.8.EE.A.2

6.

FLASHCARD QUESTION

Front

How do you simplify cube roots with variables?

Back

To simplify cube roots with variables, factor the expression under the radical into perfect cubes and apply the cube root to those factors.

7.

FLASHCARD QUESTION

Front

What is the significance of the index in a radical expression?

Back

The index indicates the degree of the root being taken; for example, a square root has an index of 2, while a cube root has an index of 3.

Tags

CCSS.8.NS.A.1

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?