Question
What are the square roots of \( 196 ? \) Submit and
Ask by Kirk Lyons. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The square roots of 196 are 14 and -14.
Solution
The square roots of \( 196 \) are **14** and **-14**.
Here's why:
- \( 14 \times 14 = 196 \)
- \( (-14) \times (-14) = 196 \)
Therefore, both positive and negative 14 are square roots of 196.
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
The square roots of \( 196 \) are \( 14 \) and \( -14 \). This is because \( 14 \times 14 = 196 \) and \( -14 \times -14 = 196 \) as well. So you've got both the positive and negative roots! Interestingly, the number \( 196 \) is known as a perfect square, which means it can be expressed as the square of an integer. In fact, it's one of the perfect squares between \( 100 \) and \( 400 \) and is often encountered in geometry and algebra problems, making it a favorite among math enthusiasts!