Simplify $$\frac{\text{sqrt}(18)}{3}$$ .

$$\frac{\text{sqrt}(18)}{3} = \frac{3\text{sqrt}(2)}{3} = \text{sqrt}(2)$$ .

How do you simplify $$\text{sqrt}(50)$$ ?

$$\text{sqrt}(50) = \text{sqrt}(25 \times 2) = 5\text{sqrt}(2)$$ .

How do you express $$\text{sqrt}(a^2)$$ ?

$$\text{sqrt}(a^2) = |a|$$ , where |a| is the absolute value of a.

What is the product property of square roots?

The product property states that $$\text{sqrt}(a) \times \text{sqrt}(b) = \text{sqrt}(a \times b)$$ .

What is the quotient property of square roots?

The quotient property states that $$\frac{\text{sqrt}(a)}{\text{sqrt}(b)} = \text{sqrt}igg(\frac{a}{b}igg)$$ , where b ≠ 0.

How do you simplify $$\text{sqrt}(72)$$ ?

$$\text{sqrt}(72) = \text{sqrt}(36 \times 2) = 6\text{sqrt}(2)$$ .

What is the simplified form of $$\text{sqrt}(12)$$ ?

$$\text{sqrt}(12) = \text{sqrt}(4 \times 3) = 2\text{sqrt}(3)$$ .

What is the significance of perfect squares in simplifying radicals?

Perfect squares are numbers whose square roots are whole numbers, and they help in breaking down radicals into simpler forms.

Simplifying Radicals: Square Roots Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a radical?

Back

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

3.

FLASHCARD QUESTION

Front

What is the square root of a negative number?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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