Kaylxna
Kaylxna Kaylxna
  • 18-09-2017
  • Mathematics
contestada

45 points!! Please help and show the steps

45 points Please help and show the steps class=

Respuesta :

3mar 3mar
  • 18-09-2017
This is a good question, and also easy...

BY THE WAY .... YOUR QUESTION SHOULD LOOK LIKE:
[tex] \sqrt[3]{375} -4 \sqrt[3]{3} [/tex]

The idea is that you need to factor the number 375 to its multiples and extract all possible factors from the cube root ....... as follows

375 = 3 * 5 * 5 * 5 = 3 * (5)^3

then:
[tex] \sqrt[3]{375} = \sqrt[3]{3*5^3} =5 \sqrt[3]{3} [/tex]


Now you are able to subtract two similar terms:
[tex]\sqrt[3]{375} -4 \sqrt[3]{3}= 5\sqrt[3]{3} -4\sqrt[3]{3}=\sqrt[3]{3}(5-4)=\sqrt[3]{3}[/tex]


I hope that helps!



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