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 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
Use a factor tree to see if there is a square or cube factor to extract.
perfect cube Examples perfect square
30 is not a perfect square. 30 does not have a perfect square factor. cannot be simplified! Not all Radicals can be Simplified
30 is not a perfect cube. 30 does not have a perfect cube factor. cannot be simplified! Not all Radicals can be Simplified
You Try…
The End