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Not all numbers or expressions have an exact square or cube root. If a number is NOT a perfect square or cube, you might be able to simplify it. Simplifying.

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Presentation on theme: "Not all numbers or expressions have an exact square or cube root. If a number is NOT a perfect square or cube, you might be able to simplify it. Simplifying."— Presentation transcript:

1 Not all numbers or expressions have an exact square or cube root. If a number is NOT a perfect square or cube, you might be able to simplify it. Simplifying Radicals

2 2 Extract the square root or cube root of the factor that is a perfect cube or square. 1 Write the radicand as a product of two factors, where one of the factors is a perfect square or perfect cube. 3 The factors that are not perfect squares or cubes will remain as the radicand. To Simplify a Radical

3 Use a factor tree to see if there is a square or cube factor to extract.

4 perfect cube Examples perfect square

5 30 is not a perfect square. 30 does not have a perfect square factor. cannot be simplified! Not all Radicals can be Simplified

6 30 is not a perfect cube. 30 does not have a perfect cube factor. cannot be simplified! Not all Radicals can be Simplified

7 You Try…

8 The End


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