What is the square root of 1225?
Understand the Problem
The question is asking for the square root of the number 1225. This involves determining which number, when multiplied by itself, equals 1225.
Answer
35
Answer for screen readers
The final answer is 35
Steps to Solve
- Identify the number whose square root is needed
We are given the number 1225 and need to find the square root of this number.
- Prime factorization
Factorize 1225 to make finding the square root easier:
$$1225 = 35 \times 35$$
- Recognize the perfect square
Since $35 \times 35 = 1225$, we recognize that 1225 is a perfect square. Therefore, the square root of 1225 is simply the number 35.
The final answer is 35
More Information
Finding the square root of a perfect square like 1225 is straightforward. Since 1225 can be expressed as $35^2$, its square root is 35.
Tips
A common mistake is not correctly factorizing the number or misidentifying the perfect square. Always verify by multiplication if necessary.
