Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-$\sqrt { - 294 }$
A) $- 7 \sqrt { 6 }$
B) $- 7 \sqrt { 6 } \mathrm { i }$
C) $7 \sqrt { 6 }$
D) $7 \sqrt { 6 } \mathrm { i }$

Question

Quizplus · Accepted Answer

The square root of a negative number involves the imaginary unit $i$, where $i = \sqrt{-1}$. Factor 294 to find its square roots: $294 = 2 \times 3 \times 7^2$. Thus, $\sqrt{-294} = \sqrt{-1} \times \sqrt{2 \times 3 \times 7^2} = \sqrt{2 \times 3} \times 7i = 7\sqrt{6}i$.

Write the Word or Phrase That Best Completes Each Statement −294\sqrt { - 294 }−294​

Write the Word or Phrase That Best Completes Each Statement $\sqrt { - 294 }$