Adding and Subtracting Radicals

Adding and Subtracting Radicals

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Easy

CCSS
HSN.RN.A.2, 8.NS.A.1

Standards-aligned

Created by

Wayground Content

Used 1+ times

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√).

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

How do you simplify √a + √b?

Back

You can only add √a and √b if they have the same radicand (the number under the root). If they do, combine them as coefficients.

3.

FLASHCARD QUESTION

Front

What is the simplified form of √300?

Back

√300 = √(100 * 3) = 10√3.

4.

FLASHCARD QUESTION

Front

What is the simplified form of √75?

Back

√75 = √(25 * 3) = 5√3.

5.

FLASHCARD QUESTION

Front

How do you add √12 and √192?

Back

First, simplify both: √12 = 2√3 and √192 = 8√3. Then, add: 2√3 + 8√3 = 10√3.

6.

FLASHCARD QUESTION

Front

What is the result of 4√7 - 10√7 + 7√7?

Back

Combine like terms: (4 - 10 + 7)√7 = 1√7 = √7.

7.

FLASHCARD QUESTION

Front

What is the sum of (3√6) + (4√6)?

Back

Combine like terms: (3 + 4)√6 = 7√6.

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