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# steps on how to simplify an entire radical into a mixed form

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$$sqrt3(24$$

Guest Jun 12, 2017

#1
+6567
+1

I think this is your question:     $$\sqrt[3]{24}$$

$$\sqrt[3]{24}$$                                 Split   24   into its prime factors

=  $$\sqrt[3]{2\,*\,2\,*\,2\,*\,3}$$            Rewrite this as...

=  $$\sqrt[3]{2\,*\,2\,*\,2}\,*\,\sqrt[3]{3}$$

=  $$\sqrt[3]{2^3}\,*\,\sqrt[3]3$$                     The cube root of  2  cubed  =  2

=  $$2\sqrt[3]3$$

hectictar  Jun 12, 2017
Sort:

#1
+6567
+1

I think this is your question:     $$\sqrt[3]{24}$$

$$\sqrt[3]{24}$$                                 Split   24   into its prime factors

=  $$\sqrt[3]{2\,*\,2\,*\,2\,*\,3}$$            Rewrite this as...

=  $$\sqrt[3]{2\,*\,2\,*\,2}\,*\,\sqrt[3]{3}$$

=  $$\sqrt[3]{2^3}\,*\,\sqrt[3]3$$                     The cube root of  2  cubed  =  2

=  $$2\sqrt[3]3$$

hectictar  Jun 12, 2017

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