What is the first step in simplifying a radical expression?

The first step is to factor the number inside the radical into its prime factors.

What does it mean to simplify a radical?

To simplify a radical means to express it in its simplest form, removing any perfect square factors from under the radical.

What is a perfect square?

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

How do you simplify $$\text{√(a^2)}$$ ?

$$\text{√(a^2)} = a$$ , assuming a is non-negative.

What is the result of multiplying a radical by itself?

The result is the number inside the radical. For example, $$\text{√a} \times \text{√a} = a$$ .

Multiplying & Dividing Radicals Flashcards

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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 (√) or cube root (∛).

2.

FLASHCARD QUESTION

Front

How do you multiply two radicals?

Back

3.

FLASHCARD QUESTION

Front

What is the product property of square roots?

Back

4.

FLASHCARD QUESTION

Front

How do you divide two radicals?

Back

5.

FLASHCARD QUESTION

Front

What is the quotient property of square roots?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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