Properties of Radicals

Overview

Goal. Simplify a square root by factoring out the largest perfect square, use the quotient property on fractions, and rewrite a fraction so its denominator has no radical.

Simplest radical form (definition). A square root is in simplest form when its radicand has no perfect-square factor other than 1.

Product and quotient properties of square roots, simplest radical form, rationalizing denominators, combining like radicals.

Lesson Notes

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Notes page

Lesson Video

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Interactive Activity

Goal. Simplify square roots by pulling out perfect-square factors, rationalize denominators, and check each answer by squaring it.

Simplest radical form (definition). A square root is in simplest form when its radicand has no perfect-square factor other than 1.

Properties of Radicals — Interactive ActivityOpen ›