+0  
 
0
522
2
avatar+141 

3³√24+³√375

RoMeMaJo8  Jul 17, 2014

Best Answer 

 #2
avatar+92781 
+8

3³√24+³√375

 

$$3\sqrt[3]{8*3}+\sqrt[3]{5*5*5*3}\\\\
=3*2\sqrt[3]{3}+5\sqrt[3]{3}\\\\
=6\sqrt[3]{3}+5\sqrt[3]{3}\\\\
=11\sqrt[3]{3}\\\\$$

 

check

$${\mathtt{3}}{\mathtt{\,\times\,}}{\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{24}}}}{\mathtt{\,\small\textbf+\,}}{\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{375}}}} = {\mathtt{15.864\: \!745\: \!273\: \!381\: \!492\: \!2}}$$

$${\mathtt{11}}{\mathtt{\,\times\,}}{\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{3}}}} = {\mathtt{15.864\: \!745\: \!273\: \!381\: \!492\: \!2}}$$

Good, they are the same   

Melody  Jul 17, 2014
 #1
avatar+1314 
0

See what you can do with a bit of reading on surds. :) You'd be surprized about how fast you will pick it up. Might be something good on youtube as well. I think Kahn Acadamy would be the first stop. 

Stu  Jul 17, 2014
 #2
avatar+92781 
+8
Best Answer

3³√24+³√375

 

$$3\sqrt[3]{8*3}+\sqrt[3]{5*5*5*3}\\\\
=3*2\sqrt[3]{3}+5\sqrt[3]{3}\\\\
=6\sqrt[3]{3}+5\sqrt[3]{3}\\\\
=11\sqrt[3]{3}\\\\$$

 

check

$${\mathtt{3}}{\mathtt{\,\times\,}}{\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{24}}}}{\mathtt{\,\small\textbf+\,}}{\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{375}}}} = {\mathtt{15.864\: \!745\: \!273\: \!381\: \!492\: \!2}}$$

$${\mathtt{11}}{\mathtt{\,\times\,}}{\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{3}}}} = {\mathtt{15.864\: \!745\: \!273\: \!381\: \!492\: \!2}}$$

Good, they are the same   

Melody  Jul 17, 2014

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