What is the negative square root of 36?
Understand the Problem
The question is asking for the negative square root of the number 36. The square roots of 36 are both 6 and -6, so the negative square root specifically refers to -6.
Answer
The negative square root of 36 is $-6$.
Answer for screen readers
The negative square root of 36 is $-6$.
Steps to Solve
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Identify the square root of the number To find the square root of a number, we need to determine two values that, when multiplied by themselves (squared), will give us the original number. For the number 36, the positive square root is (6) because (6 \times 6 = 36).
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Determine the negative square root The other square root for any positive number is its negative counterpart. Therefore, the negative square root of (36) is (-6) since (-6 \times -6 = 36).
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Final answer confirmation We can confirm that the negative square root of (36) is indeed:
$$ -6 $$
The negative square root of 36 is $-6$.
More Information
The square root of a number can have two values, one positive and one negative. The concept of negative square roots is commonly used to understand solutions in algebra and geometry.
Tips
Some common mistakes include:
- Forgetting that each positive number has two square roots, one positive and one negative.
- Assuming that "the square root" refers only to the positive value without considering the negative value.
