Find the perimeter of a square with a side length of 332−−√. Your answer must be in simplest radical form.
The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal, we can find the perimeter by multiplying the length of one side by 4.
The length of one side is given as $\sqrt{332}$. So, the perimeter of the square is $4\sqrt{332}$.
Since the square root of 332 cannot be simplified any further, our final answer is $\boxed{4\sqrt{332}}$.
To find the perimeter of a square, you need to multiply the length of one side by 4.
Given that the side length of the square is √332, the perimeter can be calculated as:
P = 4 * √332
Next, let's simplify the square root of 332:
√332 = √(2 * 2 * 83) = 2√83
Now we can substitute this value back into the equation for the perimeter:
P = 4 * 2√83
Finally, we can simplify:
P = 8√83
Therefore, the perimeter of the square with a side length of √332 is 8√83.
To find the perimeter of a square, you need to know the length of one side and then multiply it by 4, since a square has four equal sides.
In this case, the side length of the square is given as 332−−√. To simplify the radical, 332, we need to find a perfect square that divides evenly into it.
Let's calculate the simplified radical form of 332 first:
To do this, we need to find the largest perfect square that is a factor of 332. We can start by prime factorizing 332:
332 = 2 * 2 * 83
Since 83 is a prime number, all the other factors are perfect squares. In this case, 2 is a factor repeated twice, so we can simplify the square root.
Taking the square root of both perfect squares, we get:
√(2 * 2 * 83) = 2√83
Now, we have the simplified radical form of the side length as 2√83.
To find the perimeter, we multiply the side length by 4:
Perimeter = 4 * (2√83) = 8√83
Therefore, the perimeter of the square with a side length of 332−−√ is 8√83, in simplest radical form.