khatrirajeeta
khatrirajeeta khatrirajeeta
  • 22-11-2021
  • Mathematics
contestada

Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]

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sqdancefan
sqdancefan sqdancefan
  • 23-11-2021

Answer:

  6∛3

Step-by-step explanation:

  [tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]

_____

The cubes under each radical can be brought out. Coefficients of like radicals can be combined.

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