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4.3 - Operations With Radical Expressions

4.3 - Operations With Radical Expressions

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
8.NS.A.1, HSA.REI.A.2

Standards-aligned

Created by

Wayground Content

FREE Resource

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

Back

To simplify radical expressions, factor the number under the radical into its prime factors and look for pairs (for square roots) or groups (for cube roots) to simplify.

3.

FLASHCARD QUESTION

Front

What is the square root of 20?

Back

The square root of 20 can be simplified to @@2 ext{ } imes ext{ } oot{2}{5}@@.

4.

FLASHCARD QUESTION

Front

Simplify @@ ext{ } oot{2}{72}@@.

Back

@@ ext{ } oot{2}{72} = 6 ext{ } imes ext{ } oot{2}{2} = 6 ext{ } imes ext{ } oot{2}{2} = 6 ext{ } imes ext{ }2 = 12@@.

5.

FLASHCARD QUESTION

Front

What is the product of two square roots?

Back

The product of two square roots can be expressed as @@ oot{2}{a} imes oot{2}{b} = oot{2}{a imes b}@@.

6.

FLASHCARD QUESTION

Front

How do you add radical expressions?

Back

To add radical expressions, they must have the same index and radicand. For example, @@ oot{2}{a} + oot{2}{a} = 2 oot{2}{a}@@.

7.

FLASHCARD QUESTION

Front

What is the simplified form of @@ oot{2}{50}@@?

Back

@@ oot{2}{50} = 5 oot{2}{2}@@.

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