What is the square root of 625?
Understand the Problem
The question is asking for the square root of the number 625, which means we need to find the value that, when multiplied by itself, results in 625.
Answer
The square root of 625 is \( 25 \).
Answer for screen readers
The square root of 625 is ( 25 ).
Steps to Solve
- Identify the square root definition
The square root of a number $x$ is a value $y$ such that $y \times y = x$. Here, we want to find $y$ such that $y^2 = 625$.
- Estimate the square root
To find the square root of 625, let's think of perfect squares near 625. Note that $25^2 = 625$.
- Conclude the solution
Since $25 \times 25 = 625$, we have found our square root. Thus,
$$ \sqrt{625} = 25 $$
The square root of 625 is ( 25 ).
More Information
The square root of a number represents one of the two equal factors of that number. In this case, since $25^2 = 625$, both the positive and negative square roots are technically valid, but we typically refer to the principal (positive) square root.
Tips
- Forgetting that the square root can be both positive and negative. Always consider that, but typically we report just the positive square root unless specified otherwise.
