JackieMadness
JackieMadness JackieMadness
  • 24-02-2016
  • Mathematics
contestada

Simplify square root of 1008 ( V` Represents the square root sign.)
A. 18 V`3

B. 12 V`7

C. 12 V`6

D. 11 V`7

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apologiabiology
apologiabiology apologiabiology
  • 24-02-2016
so first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
[tex] \sqrt{xy}= \sqrt{x} \sqrt{y} [/tex] so
[tex] \sqrt{1008}= (\sqrt{2*2}) (\sqrt{2*2}) (\sqrt{3*3}) (\sqrt{7}) [/tex]=
2*2*3*[tex] \sqrt{7} [/tex]=
12√7

the answer is B

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