lupemolacat107
lupemolacat107 lupemolacat107
  • 12-06-2020
  • Mathematics
contestada

[tex] \sqrt[3]{1000a {}^{6} } [/tex]
Simplify
​

Respuesta :

ranau1199
ranau1199 ranau1199
  • 12-06-2020

Answer:

[tex]10a^2[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{1000a^6}\\[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt[3]{1000}\sqrt[3]{a^6}\\10\sqrt[3]{a^6}\\10\sqrt[3]{\left(a^2\right)^3}\\10a^2[/tex]

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