thetrojantv
thetrojantv thetrojantv
  • 25-02-2018
  • Mathematics
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zhaotianyu369 zhaotianyu369
  • 26-02-2018
The answer is A. \sqrt(-108)=sqrt(-1*108)=sqrt(-1)*sqrt(108)=i*\sqrt(36*3)=i*\sqrt(36)*\sqrt(3)=6i*\sqrt(3). \sqrt(-3)=\sqrt(-1*3)=\sqrt(-1)*\sqrt(3)=i*\sqrt(3). \sqrt(-108)-\sqrt(-3)=6i*\sqrt(3)-i*\sqrt(3)=5i*\sqrt(3).
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carlosego
carlosego carlosego
  • 26-02-2018
root (-108) -raiz (-3)
 First we rewrite the expressions:
 root (-36 * 3) -raiz (-3)
 6 * root (-3) -raiz (-3)
 5 * root (-3)
 5 * root (3) * root (-1)
 By definition:
 i = root (-1)
 Substituting:
 5 * root (3) * i
 Answer:
 5 * root (3) * i
 option 1
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