What is the square root of 63?
Understand the Problem
The question is asking for the mathematical calculation of the square root of the number 63. This involves determining what number, when multiplied by itself, equals 63.
Answer
3\sqrt{7}
Answer for screen readers
The final answer is ( 3 \sqrt{7} )
Steps to Solve
- Simplify the expression under the square root
To simplify, we factorize 63 into its prime factors:
$$ 63 = 3 \times 3 \times 7 = 3^2 \times 7 $$
Since 3 is squared, we can take it out of the square root:
- Extract the square factor
$$ \sqrt{3^2 \times 7} = 3 \sqrt{7} $$
This is the simplest form of the square root of 63.
The final answer is ( 3 \sqrt{7} )
More Information
The simplified form of the square root of a number can be useful in various mathematical contexts, including algebra and trigonometry.
Tips
A common mistake is to try to find an exact decimal approximation instead of simplifying the radical form. Always check if the number inside the square root can be factorized further.
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