Simplify $$\frac{\text{√}5u^2v^3}{\text{√}10u^4v^3}$$ .

The simplified form is $$\frac{\text{√}2}{2u}$$ .

Simplify $$\text{∛}x^4 \times \text{∛}x^8$$ .

The simplified form is $$x^4$$ .

What is the product of radicals?

The product of radicals states that $$\text{√}a \times \text{√}b = \text{√}(ab)$$ .

Evaluate $$\text{√}54p^6k^5$$ .

The evaluated form is $$3p^3k^2\text{√}6k$$ .

What does it mean to simplify a radical expression?

Simplifying a radical expression means to rewrite it in its simplest form, removing any perfect squares or cubes 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. For example, 1, 4, 9, 16 are perfect squares.

How do you combine like radicals?

Like radicals can be combined by adding or subtracting their coefficients. For example, $$3\text{√}2 + 2\text{√}2 = 5\text{√}2$$ .

What is the difference between rational and irrational numbers?

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction.

What is the significance of assuming variables are positive in radical expressions?

Assuming variables are positive ensures that the square roots and cube roots are defined and yield real numbers.

6.2 Multiply and Divide Radicals Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Define a radical expression.

Back

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

What is the square root of a number?

Back

Tags

CCSS.8.EE.A.2

3.

FLASHCARD QUESTION

Front

How do you multiply radical expressions?

Back

4.

FLASHCARD QUESTION

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any radicals from the denominator of a fraction. This is done by multiplying the numerator and denominator by a suitable radical.

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

6.

FLASHCARD QUESTION

Front

What is the cube root of a number?

Back

Tags

CCSS.8.EE.A.2

7.

FLASHCARD QUESTION

Front

How do you divide radical expressions?

Back

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