Dividing Radical Expressions
To find the quotient of two radicals, we can sometimes use the Division
Property of Radicals in this form:
Example
Divide and simplify:
Solution |
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Write the numerator and denominator
under the same radical symbol.
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Simplify the radicand by canceling
common factors. |
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Factor the radical. Use perfect cube
factors where possible. |
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Write the radical as a product of
radicals. Place each perfect cube
under its own radical symbol.
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Simplify the cube root of each
perfect cube.
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Thus, |
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