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\(sqrt3(24\)

Guest Jun 12, 2017

Best Answer 

 #1
avatar+4157 
+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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1+0 Answers

 #1
avatar+4157 
+1
Best Answer

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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