# Video: Finding the Additive Inverse of a Given Number

Find the additive inverse of √36.

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### Video Transcript

Find the additive inverse of the square root of 36.

In order to solve this question, we need to know two things. Firstly, we need to know what the square root of a number is, and secondly, we need to understand the definition of the additive inverse. In order to square-root or root a number, we need to find a number that multiplies by itself to give us that number.

In this specific case, the square root of 36 equals six. This is because six multiplied by six equals 36. Likewise, the square root of 64 would be eight because eight multiplied by eight is 64.

The additive inverse comes from the property of opposites, so we are looking for a number that we can add to six to give us an answer of zero. Six plus something equals zero. Clearly, six add negative six equals zero. Therefore, the additive inverse of the square root of 36 is negative six. So by square-rooting 36 and using the property of opposites, we found out that the additive inverse of root 36 is negative six.