What is the square root of 141
The correct answer and explanation is:
Correct Answer:
The square root of 141 is approximately 11.8743.
Explanation:
The square root of a number is a value that, when multiplied by itself, gives the original number. So, the square root of 141 means finding a number that, when squared, equals 141: 141=x⇒x2=141\sqrt{141} = x \Rightarrow x^2 = 141
141 is not a perfect square because no whole number squared equals exactly 141. So, we have to estimate or use a calculator to find its square root.
Let’s try some nearby perfect squares:
- 112=12111^2 = 121
- 122=14412^2 = 144
So, 141\sqrt{141} must lie between 11 and 12.
To get a more accurate value, we can use a calculator: 141≈11.8743\sqrt{141} \approx 11.8743
This is an irrational number, meaning it cannot be expressed exactly as a simple fraction, and its decimal goes on forever without repeating. However, we often round it to a few decimal places for convenience.
Applications:
Understanding square roots is crucial in fields like:
- Geometry (e.g., Pythagorean Theorem, where square roots are used to find distances),
- Engineering (e.g., calculating load distributions or electrical resistance),
- and Finance (e.g., standard deviation in risk calculations).
If you’re solving an equation that results in the square root of 141, such as: x2=141x^2 = 141
Then the solutions are: x=±141≈±11.8743x = \pm \sqrt{141} \approx \pm 11.8743
This shows how square roots are often encountered in algebra and real-world problem solving, especially when dealing with quadratic equations or measurements.