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Simplify Radical Expressions Calculator

Simplify Radical Expressions
\[ y \cdot \sqrt[n]{x} = \; ? \]

y is optional
Answer:

\[ \sqrt[5]{62208} \]\[ = \; \sqrt[5]{7776 \cdot 8} \]\[ = \; 6 \cdot \sqrt[5]{8} \]\[ = \; 6 \, \sqrt[5]{8} \]
Solution by prime factorization:\[ \sqrt[5]{62208} \]\[ = \sqrt[5]{2^{8} \cdot 3^{5}} \]\[ = 2^{1} \cdot 3^{1} \cdot \sqrt[5]{2^{3}} \]\[ = 2 \cdot 3 \cdot \sqrt[5]{8} \]\[ = \; 6 \, \sqrt[5]{8} \]

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Calculator Use

This online calculator will calculate the simplified radical expression of entered values.  It will show the work by separating out multiples of the radicand that have integer roots.

Further the calculator will show the solution for simplifying the radical by prime factorization.



 

Cite this content, page or calculator as:

Furey, Edward "Simplify Radical Expressions Calculator"; from http://www.calculatorsoup.com - Online Calculator Resource.

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