SOLUTION: How can I answer this question? Please help me. 3: True or False? Explain your answer. 2 - √-6 = 2 - 6i

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Question 99092: How can I answer this question? Please help me.
3: True or False? Explain your answer.
2 - √-6 = 2 - 6i


Found 2 solutions by stanbon, Adam:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
True or False? Explain your answer.
2 - √-6 = 2 - 6i
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2-sqrt(-6) = 2 - [sqrt(6)*sqrt(-1)]
= 2 - [sqrt(6)*i]
= 2 - isqrt(6)
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So the answer to the question is "False".
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Cheers,
Stan H.

Answer by Adam(64) About Me  (Show Source):
You can put this solution on YOUR website!
False, because sqrt%28-6%29 = sqrt%286%2A%28-1%29%29, where sqrt%28-1%29+=+i, so sqrt%286%2A%28-1%29%29=+sqrt%286%29%2Ai -) 2-sqrt%28-6%29+=+2-sqrt%286%29%2Ai you have take square root of both numbers in product sqrt%286%2A%28-1%29%29