What is the square root of 126?
Understand the Problem
The question is asking for the mathematical calculation of the square root of the number 126.
Answer
The square root of 126 is approximately $11.225$.
Answer for screen readers
The square root of 126 is approximately $11.225$.
Steps to Solve
- Identify the square root operation
To find the square root of 126, we are looking for a number $x$ such that $x^2 = 126$.
- Approximate the square root
Since the square root of 126 is not a perfect square, we can estimate it. We know that $11^2 = 121$ and $12^2 = 144$. Therefore, we can conclude that: $$ 11 < \sqrt{126} < 12 $$
- Calculate using a calculator
Using a calculator for a more precise calculation, we find: $$ \sqrt{126} \approx 11.225 $$
- Round if necessary
If rounding is required, we can round $11.225$ to 11.23 (to two decimal places).
The square root of 126 is approximately $11.225$.
More Information
The square root of a number represents a value, which when multiplied by itself gives the original number. In everyday situations, square roots often come up in various fields like physics, engineering, and even finance when dealing with areas or distances.
Tips
- Forgetting to approximate: Some might forget to estimate and directly calculate without knowing the possible range.
- Rounding too early: Rounding the answer before finding a precise value can lead to inaccuracies.
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