What is the square root of 301?
Understand the Problem
The question is asking for the calculation of the square root of the number 301. This involves finding a number that, when multiplied by itself, equals 301.
Answer
$ \sqrt{301} \approx 17.431 $
Answer for screen readers
The square root of 301 is approximately $17.431$.
Steps to Solve
- Identify the Square Root Operation
To find the square root of a number, we use the square root symbol, which can be represented mathematically as $ \sqrt{x} $. In this case, we want to calculate $ \sqrt{301} $.
- Estimation of the Square Root
Since 301 is not a perfect square, we need to estimate its square root. We can find the perfect squares close to 301, which are $17^2 = 289$ and $18^2 = 324$.
- Use a Calculator for Precision
Using a calculator, we can find a more precise value for $ \sqrt{301} $. Input 301 into the calculator and use the square root function.
- Final Value
Upon using a calculator, we find that the square root of 301 is approximately $17.431$.
The square root of 301 is approximately $17.431$.
More Information
The square root of a number quantifies how far that number is from being a perfect square. It's interesting to note that the square root of 301 falls between the integers 17 and 18, highlighting that it is not a perfect square.
Tips
- Misinterpreting the Problem: Sometimes, people forget to properly use the square root symbol when calculating or confuse it with squaring a number. Always remember that the square root of a number $x$ answers the question of what number multiplied by itself gives $x$.
- Rounding too Early: Avoid rounding the number before finding the final result. Always find the exact square root first, then round as needed.
