Simplifying Square and Cube Roots HW Flashcards: 15 Cards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a square root?

Back

A square root of a number x is a number y such that y² = x. For example, the square root of 9 is 3 because 3² = 9.

2.

FLASHCARD QUESTION

Front

What is a cube root?

Back

A cube root of a number x is a number y such that y³ = x. For example, the cube root of 27 is 3 because 3³ = 27.

3.

FLASHCARD QUESTION

Front

Simplify: $2\sqrt{20}$

Back

$4\sqrt{5}$ .

4.

FLASHCARD QUESTION

Front

Simplify: ∛81

Back

3∛3.

5.

FLASHCARD QUESTION

Front

Simplify: $\sqrt{200}$

Back

$10\sqrt{2}$ .

6.

FLASHCARD QUESTION

Front

Simplify: 4 $\sqrt{75}$

Back

20 $\sqrt{3}$ .

7.

FLASHCARD QUESTION

Front

What is the product property of square roots?

Back

The product property states that $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ .

8.

FLASHCARD QUESTION

Front

What is the quotient property of square roots?

Back

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

9.

FLASHCARD QUESTION

Front

How do you simplify $\sqrt{a^2}$ ?

Back

$\sqrt{a^2} = |a|$ , which means the absolute value of a.

10.

FLASHCARD QUESTION

Front

What is the simplified form of $\sqrt{50}$ ?

Back

$5\sqrt{2}$ .

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