Beautybrain Beautybrain
  • 06-02-2016
  • Mathematics
contestada

Can someone please show me the steps of how to simplify the square root of 96.

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 06-02-2016
so you find pairs of factors and gropu
factor 96
96=2 times 2 times 2 times 2 times 2 times 3
group pairs of same numbers
96=(2 times 2) times (2 times 2) times 2 times 3
so now
√96=[tex] \sqrt{(2 times 2) times (2 times 2) times 2 times 3} [/tex]=[tex] 2 times 2\sqrt{2 times 3} [/tex]=[tex] 4\sqrt{6} [/tex]

answer is [tex] 4\sqrt{6} [/tex]
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Dracula419
Dracula419 Dracula419
  • 06-02-2016
√96 = √16*2*3 =  4√6
use the rules of surds
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