Simplify $$\text{sqrt[3]{x^2} \times \text{sqrt[3]{x^4}}}$$ .

$$\text{sqrt[3]{x^{2+4}}} = \text{sqrt[3]{x^6}} = x^2$$ .

What is a radical function?

A radical function is a function that contains a variable within a radical. The general form is $$f(x) = \text{sqrt}(g(x))$$ , where $$g(x)$$ is a polynomial.

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

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

What is the relationship between radical expressions and rational exponents?

Radical expressions can be rewritten using rational exponents. For example, $$\text{sqrt[3]{x}} = x^{\frac{1}{3}}$$ .

What is the simplified form of $$\text{sqrt{a} \times \text{sqrt{b}}}$$ ?

$$\text{sqrt{a} \times \text{sqrt{b}} = \text{sqrt{a \times b}}}$$ .

Radical exponents and Radical Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a radical exponent?

Back

Tags

CCSS.HSN.RN.A.2

2.

FLASHCARD QUESTION

Front

What is the value of any non-zero number raised to the power of 0?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

What is the product of two radicals with the same index?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the rule for multiplying powers with the same base?

Back

Tags

CCSS.8.EE.A.1

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