Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-$- \sqrt { - 252 }$
A) $6 \sqrt { 7 } \mathrm { i }$
B) $6 \sqrt { 7 }$
C) $- 6 \sqrt { 7 }$
D) $- 6 \sqrt { 7 } i$

Question

Quizplus · Accepted Answer

Using the definition of the imaginary unit, we have:
$\sqrt{-252} = \sqrt{252}\sqrt{-1} = 6\sqrt{7}i$
and since there is a negative sign outside of the square root, we have:
$- \sqrt{-252} = -6\sqrt{7}i$

Write the Word or Phrase That Best Completes Each Statement −−252- \sqrt { - 252 }−−252​

Write the Word or Phrase That Best Completes Each Statement $- \sqrt { - 252 }$