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Tia_Sweetheart17
 4 years ago
square root of 512m^3. show work
Tia_Sweetheart17
 4 years ago
square root of 512m^3. show work

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Radicals... In order to find the square root, we need to find a perfect square factor of 512. 64 is a perfect square factor, which can be multiplied by 8 to give 512. So we can write the square of 512 this way. \[\sqrt{512 m^3} = \sqrt{64 * 8 m^3}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{64}*\sqrt{8 m^3} = 8 * \sqrt{4 * 2 m^3}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0256 is also a perfect square factor :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[8*\sqrt{4}*\sqrt{2 m^3} = 8*2*\sqrt{2 m^3} = 16\sqrt{2m^3}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yeah, we could've skipped all that using 256, thanks Rick :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The cube root of meters cubed is meters to the 1.5 power (yeah, I know, its weird). So you can write your final answer as:\[\sqrt{512 m^3} = 16\sqrt{2} m^{1.5}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, is that meters cubed, or is it a variable?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Either way, the answer is still the same.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I assume it's a variable

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yeah, makes more sense, meters to the 1.5 power, lol.
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