Operations with Radicals

Operations with Radicals

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root. For example, √4 represents the square root of 4.

2.

FLASHCARD QUESTION

Front

How do you simplify √(a * b)?

Back

√(a * b) = √a * √b, provided that a and b are non-negative.

3.

FLASHCARD QUESTION

Front

What is the value of √(16)?

Back

4, because 4 * 4 = 16.

4.

FLASHCARD QUESTION

Front

How do you add √a and √b?

Back

You can only add √a and √b if a = b. In that case, √a + √b = (√a + √b) = n√a, where n is the number of identical radicals.

5.

FLASHCARD QUESTION

Front

What is the process to rationalize the denominator of 1/√a?

Back

Multiply the numerator and denominator by √a to get (√a)/(a).

6.

FLASHCARD QUESTION

Front

What is the square of a radical?

Back

The square of a radical √a is simply a, since (√a)² = a.

7.

FLASHCARD QUESTION

Front

How do you subtract √a from √b?

Back

You can only subtract √a from √b if a = b. In that case, √b - √a = (√b - √a) = n√a, where n is the number of identical radicals.

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