What is the square root of 676?
Understand the Problem
The question is asking for the square root of the number 676. To solve this, we need to find a number that, when multiplied by itself, equals 676.
Answer
The square root of 676 is $26$.
Answer for screen readers
The square root of 676 is $26$.
Steps to Solve
- Identify the number and required operation
We need to find the square root of 676. The square root of a number $n$ is a value $x$ such that $x^2 = n$.
- Estimate the square root using nearby perfect squares
To find the square root of 676, we can look for perfect squares near this number. We know that:
$$ 25^2 = 625 $$ $$ 26^2 = 676 $$ $$ 27^2 = 729 $$
- Confirm the perfect square and find the solution
Since $26^2 = 676$, we can conclude that:
$$ \sqrt{676} = 26 $$
Thus, the square root of 676 is 26.
The square root of 676 is $26$.
More Information
The number 676 is a perfect square, which means it can be expressed as the product of an integer multiplied by itself. Square roots play a crucial role in various areas of mathematics, including geometry and algebra.
Tips
One common mistake is incorrectly estimating the square root by rounding or miscalculating nearby perfect squares. To avoid this, always verify by squaring your answer to see if it matches the original number.
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