roseshine33oxpx0r
roseshine33oxpx0r roseshine33oxpx0r
  • 15-03-2018
  • Mathematics
contestada

which expression is equivalent to 3 square root 64k^12

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 21-03-2018
[tex] \sqrt[3]{64k^{12}} = \sqrt[3]{4^{3}}\times \sqrt[3]{k^{12}} = 4k^{4}[/tex]
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stokholm stokholm
  • 10-05-2019

Answer:

Step-by-step explanation:

alright, lets get started.

the given expression is :

[tex]\sqrt[3]{64k^{12}}[/tex]

64 can be written as 4*4*4 or say [tex]4^{3}[/tex]

So, the expression will be :

[tex]\sqrt[3]{4^{3}k^{12}}[/tex]

Now k^12 can be written as [tex]k^{4*3}[/tex]

So,

[tex]\sqrt[3]{4^{3}k^{4*3}}[/tex]

Taking cubic root

[tex]4k^4[/tex]   :    answer

Hope it will help :)

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