What is the square root of 256 simplified?
Understand the Problem
The question is asking for the simplified form of the square root of 256, which involves finding a number that when multiplied by itself gives 256.
Answer
$16$
Answer for screen readers
The simplified form of the square root of 256 is $16$.
Steps to Solve
-
Identify the square root To solve for the square root of 256, we are looking for a number $x$ such that $x^2 = 256$.
-
Calculate the square root We can find the square root of 256 by determining which number, when multiplied by itself, results in 256.
-
Finding the solution We know that $16 \times 16 = 256$, so we conclude that the square root of 256 is 16.
The simplified form of the square root of 256 is $16$.
More Information
The square root of a perfect square, like 256, is a fundamental concept in mathematics. It shows that multiplication can be reversed by finding numbers that yield a particular product.
Tips
Common mistakes include confusing square roots with square values or miscalculating the square of a number. To avoid this, always remember that the square root asks for which number, when squared, equals the original number.
