What is the square root of 961?
Understand the Problem
The question is asking for the value of the square root of 961, which is the number that when multiplied by itself equals 961.
Answer
31
Answer for screen readers
The final answer is 31
Steps to Solve
- Determine if 961 is a perfect square
A perfect square is a number that can be expressed as the product of an integer with itself. So, we need to find an integer that, when multiplied by itself, equals 961.
- Find the square root by trial and error or calculation
Start by identifying an integer close to the square root of 961. Since $30^2 = 900$ and $40^2 = 1600$, the square root of 961 should be between 30 and 40. Use trial and error to find the exact integer.
$31^2 = 961$
- Conclude the square root
Since $31^2 = 961$, the square root of 961 is 31.
The final answer is 31
More Information
Fun fact: 961 is not just a perfect square; it is also a palindromic number, meaning it reads the same backward as forward.
Tips
A common mistake is to assume that a number is not a perfect square without testing it properly or not considering numbers in the correct range.
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