Lesson 7-4 Simplifying Radicals.

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Lesson 7-4 Simplifying Radicals.

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Lesson 7-4 Simplifying Radicals

What are Radicals? The Radical symbol , used to indicate a root, it can square root or a cube root depending on the index number. Square roots has an index number of 2, and the cube root has an index number of 3 A SQUARE ROOT RADICAL IS SIMPLIFIED, or in its simplest form, when the radicand has no square factors.

neither of which is a square number its simplest form. Example 1: 33 has no square factors. Its factors are 3• 11 neither of which is a square number its simplest form.

18 2 3 9 (2) 18 has the square factor 9. 18 = 9 • 2. Example 2. 18 has the square factor 9. 18 = 9 • 2. It is not in its simplest form. Extract, or take out, the square root of 9 from the radical Irrational number is left next to the largest perfect square 9 (2) 18 2 3

Example 3: (3) 25 75 3 5