What's the square root of 1600?
Understand the Problem
The question is asking for the square root of 1600, which is a mathematical operation. To solve it, we will find a number that, when multiplied by itself, equals 1600.
Answer
$40$
Answer for screen readers
$40$
Steps to Solve
- Identify the square root operation
We need to find a number $x$ such that $x^2 = 1600$. This means we will calculate the square root of 1600.
- Use the definition of square root
The square root of a number $a$ can be defined as the number $b$ such that $b^2 = a$. Hence, we are looking for $b$ where $b^2 = 1600$.
- Calculate the square root
Using a calculator or factoring, we will find: $$ \sqrt{1600} $$
- Perform the calculation
Breaking it down, since $1600 = 40 \times 40$, we can directly identify that: $$ \sqrt{1600} = 40 $$
$40$
More Information
The square root of 1600 is a perfect square, making calculations straightforward. The number 40 is also significant in many areas of mathematics and has various applications.
Tips
- Misreading the square root symbol as requiring addition or subtraction instead of finding a single number.
- Forgetting that square roots can be both positive and negative; however, typically only the principal (positive) square root is considered unless otherwise specified.
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