What is the square root of 1224?
Understand the Problem
The question is asking for the square root of the number 1224. To solve this, we need to find a value that, when multiplied by itself, equals 1224.
Answer
The square root of 1224 is approximately $34.96$.
Answer for screen readers
The square root of 1224 is approximately $34.96$.
Steps to Solve
- Identify the square root operation
We are looking for a number $x$ such that $x^2 = 1224$.
- Estimate the square root
Find two perfect squares between which 1224 lies. The perfect square of $35^2 = 1225$ is very close to 1224, suggesting that $\sqrt{1224}$ is slightly less than 35.
- Use a calculator for accuracy
To find $\sqrt{1224}$ more precisely, we can use a calculator or a square root function. Upon calculation:
$$ \sqrt{1224} \approx 34.96 $$
- Round the answer
If needed, round the answer to an appropriate number of decimal places. In this case, $34.96$ can be rounded to $35$ or kept as $34.96$ for precision.
The square root of 1224 is approximately $34.96$.
More Information
The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, $\sqrt{1224}$ is very close to the perfect square of 1225, which is $35^2$. This shows how close the two numbers are.
Tips
- Forgetting to check if the result is a perfect square and thinking the square root must be an integer.
- Not estimating or rounding correctly can lead to confusion.
