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What is the square root of negative numbers. define the answer

User DenLanden
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2 Answers

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17 votes

Answer: The correct answer is 0. Negative numbers don't really have any square roots since a square cannot be negative it can only be positive or a 0.

Step-by-step explanation: I hope this helps!

User John Vrbanac
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15 votes
15 votes

Answer:

Although square roots are generally taken to be positive, a square root can be negative as a negative number multiplied by a negative number is always positive.

Explanation:

In general, when someone is asking for a square root, they are seeking the positive value. This is called the principal square root. However, square roots can also be negative. Thus, the number -6 can be a square root of the number 36, just not a principal square root. So the negative square root is the same number as the principal square root, but the negative version. The negative square "squared" will give the same positive result as the principal square root, for instance,

3⋅3=9 and −3⋅−3=9.

User Mudits
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