what is 256 square root
Understand the Problem
The question is asking for the square root of 256, which is the number that when multiplied by itself gives the value of 256.
Answer
16
Answer for screen readers
The square root of 256 is 16
Steps to Solve
- Recall the definition of square root
The square root of a number $n$ is a number $m$ such that $m^2 = n$.
- Identify perfect squares
Recall that 256 is a perfect square, meaning it can be expressed as $m^2$ where $m$ is an integer.
- Calculate the square root of 256
The number which squared equals 256 is $16$. Therefore, $$ \sqrt{256} = 16 $$
256 can be factorized as follows: $$ 256 = 2^8 $$ We know, $$ \sqrt{2^8} = 2^4 $$ So, $$ 256 = (2^4)^2 = 16^2 $$
The square root of 256 is 16
More Information
The square root is a fundamental operation in mathematics, often used in algebra and geometry. Finding square roots of perfect squares, like 256, is straightforward once you recognize the number's factors.
Tips
A common mistake is confusing the square root operation with division by 2. Remember that the square root of a number is the value that, when multiplied by itself, gives the original number.
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