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)
  • 6
  • 2
  • 9

Which of the following is NOT a perfect square?

  • 9
  • 12 (correct)
  • 1
  • 4

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?

<p>5 (A)</p> Signup and view all the answers

What is the cube root of 64?

<p>4 (B)</p> Signup and view all the answers

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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