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Introductory Algebra Glossary

This glossary defines key terms related to the square root in introductory algebra, including radicand, radical, radical expression, perfect square, cube root, fourth root, index, perfect cube, like radicals, rationalizing the denominator, conjugate, and squaring property. Created by James Q. Jacobs at Superstition Mountain Campus, Central Arizona College.

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Introductory Algebra Glossary

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  1. Introductory AlgebraGlossary Chapter Nine

  2. square root • The opposite of squaring a number is called taking its square root; • that is, a number b is the square root of a if b2 = a.

  3. radicand • The number or expression under a radical sign.

  4. radical • A radical sign with a radicand.

  5. radical expression • An algebraic expression that contains radicals.

  6. perfect square • A number with a rational square root.

  7. cube root • A number b is the cube root of a if b3 = a.

  8. fourth root • A number b is the fourth root of a if b4 = a.

  9. index (order) • In a radical of the form, the nth root, n is called the index or order.

  10. perfect cube • A number with a rational cube root.

  11. like radicals • Terms that have multiples of the same root of the same number.

  12. rationalizing the denominator • The process of removing radicals from a denominator so that the denominator contains only rational numbers.

  13. conjugate • The conjugate of a + b is a - b.

  14. squaring property • If both sides of a given equation are squared, all solutions of the original equation are among the solutions of the squared equation. Used to solve equations that include square roots.

  15. Return toIntroductory Algebra • Created by • James Q. Jacobs • Superstition Mountain Campus • Central Arizona College

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