Laylay143 Laylay143
  • 12-01-2016
  • Mathematics
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whats the answer to 3√216

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Exvited
Exvited Exvited
  • 12-01-2016
[tex] 3\sqrt{216} \\ \\ 3 \times 6 \sqrt{6} \\ \\ 18 \sqrt{6} \\ \\ Answer: 18 \sqrt{6} \ or \ 44.0908[/tex]
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taskmasters
taskmasters taskmasters
  • 12-01-2016
3 √216 = 18 √6

I first got simplified the square root of 216.
√216 = √4 * 54                
 > i used 4 because it can has a whole number, 2, as a square root

√216 = 2 * √54 = 2 * √9 * 6
> i factorized 54 to look for a factor that has a whole number as a square root. the number is 9.

√216 = 2 * 3 * √6
√216 = 6 √6

****

3 √216 = 3 * 6 √6
3 √216 = 18 √6
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