What is the root of 25?
Understand the Problem
The question is asking for the mathematical root of the number 25, specifically the square root, which is a common calculation in mathematics.
Answer
The square roots of 25 are $5$ and $-5$.
Answer for screen readers
The square roots of the number 25 are $5$ and $-5$.
Steps to Solve
- Identify the square root
The square root of a number $x$ is a value $y$ such that $y^2 = x$. For the number 25, we want to find $y$ such that $y^2 = 25$.
- Set up the equation
We express this as: $$ y^2 = 25 $$
- Find the value of y
To find $y$, we take the square root of both sides of the equation: $$ y = \sqrt{25} $$
- Calculate the square root
We know that: $$ \sqrt{25} = 5 $$
Thus, $y = 5$ is one solution.
- Consider negative solution
Since squaring a negative number also results in a positive number, the square root can have a negative solution: $$ y = -5 $$
So the two square roots of 25 are $5$ and $-5$.
The square roots of the number 25 are $5$ and $-5$.
More Information
The square root function returns both a positive and a negative root because both $5$ and $-5$ squared equal $25$. This is a fundamental concept in algebra, and it’s important to remember that when solving square root problems.
Tips
- Forgetting to mention the negative root. It's common to only state the positive square root without acknowledging the negative counterpart.
- Miscalculating the square root. Ensure you understand that $\sqrt{25}$ indeed equals $5$.
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