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Algebra Chapter 8 - Roots and Radicals

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Questions and Answers

What is the index of the radical expression $ abla{3}{27}$?

3 (correct)

Which of the following is NOT a perfect square?

12 (correct)

A monomial can be defined as:

An equation containing a single variable.

An expression with a single variable.

A polynomial with only one term.

A number, a variable, or a product of numbers and variables. (correct)

What is the principal square root of 25?

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What is the cube root of 64?

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Flashcards

Cube Root

One of three equal factors of a number.

Exponential Equation

An equation in which the independent variable is the exponent.

Monomial

A number, a variable, or a product of a number and variables.

nth Root

If a^n = b for a positive integer n, then a is the nth root of b.

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Principal Square Root

The nonnegative square root of a number.

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Study Notes

Chapter 8 - Roots and Radicals

Cube root: One of three equal factors of a number.
Exponential equation: An equation where the independent variable is the exponent.
Index: In nth roots, the value indicating the root being taken. The value under the radical is being taken to.
Monomial: One or more variables, numbers, or products of these elements.
Negative exponent: A negative-valued exponent.
nth root: A root of 'b' where 'a' to the power of 'n' equals 'b' for positive integer 'n'.
Perfect cube: A rational number with a cube root that is rational.
Principal square root: The non-negative square root of a number.
Radical expression: A symbol (radical) for square roots, cube roots, or other roots, including expressions containing these roots.

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Description

Dive into the key concepts of Roots and Radicals in Algebra Chapter 8. This quiz covers definitions such as cube roots, monomials, and properties of negative exponents. Test your understanding of radical expressions and their significance in solving equations.