Question
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Answer
The negative square root of 1 is -1.
Solution
The negative square root of 1 is **-1**.
Here's why:
- The square of -1 is:
\[
(-1) \times (-1) = 1
\]
- Therefore, **-1** is the negative square root of 1.
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Simplify this solution Mind Expander
The negative square root of 1 is -1. In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. Since both 1 and -1 satisfy this condition (1 x 1 = 1 and -1 x -1 = 1), we say that the square roots of 1 are ±1, with -1 being the negative square root. Did you know that square roots have been studied since ancient times? The Babylonians used methods that closely resemble modern techniques for calculating square roots around 2000 BC! They had a remarkable understanding of numbers and computations, laying the groundwork for mathematical concepts we use today.
