Square root of 39 simplified
Understand the Problem
The question is asking for the square root of 39 to be simplified, which involves finding a more straightforward form or representation of the square root, if applicable.
Answer
The simplified form of the square root of 39 is $\sqrt{39}$.
Answer for screen readers
The simplified form of the square root of 39 is $\sqrt{39}$.
Steps to Solve
-
Identifying the square root
We are given the problem to simplify $\sqrt{39}$. First, we check if 39 can be factored into a product of perfect squares. -
Factoring the number
The prime factorization of 39 is $3 \times 13$. Since neither 3 nor 13 is a perfect square, this means that $\sqrt{39}$ cannot be simplified further using whole numbers. -
Expressing the answer
Since we cannot simplify $\sqrt{39}$, our answer remains in its original form. Thus, we conclude that $\sqrt{39}$ is already in its simplest form.
The simplified form of the square root of 39 is $\sqrt{39}$.
More Information
It's interesting to note that the square root of 39 is approximately 6.244. However, it cannot be expressed as a simpler radical involving integers.
Tips
- A common mistake is attempting to simplify $\sqrt{39}$ by breaking it down incorrectly, such as incorrectly assuming it can be factored into smaller perfect squares.
- To avoid this, always check for perfect squares in the factorization before concluding that the square root can be simplified.
AI-generated content may contain errors. Please verify critical information
