Find the perimeter of a square with a side length of 332−−√
. Your answer must be in simplest radical form.
The formula to find the perimeter of a square is P=4s, where P represents perimeter and s represents the length of one side.
Given that the length of one side is 332−−√, we can substitute this value into the formula:
P = 4(332−−√)
Simplifying,
P = 4 * 332−−√
P = 4 * 332−−√
P = 4 * 332−−√
P = 4 * (332^-0.5)
P = 4 * (1/332^0.5)
P = 4 * (1/√332)
Finally, simplifying the radical expression,
P = 4/√332
Therefore, the perimeter of the square is 4/√332.
To find the perimeter of a square, we need to know the length of one side. In this case, the length of one side of the square is given as √332.
The perimeter of a square is calculated by multiplying the length of one side by 4, since all four sides of a square are equal.
So, the perimeter of this square is:
Perimeter = 4 * (√332)
To simplify the answer to radical form, we can simplify √332 if possible.
To simplify the square root, we need to factor 332 into its prime factors.
332 can be factored as 2 * 2 * 83.
Now, we can rewrite the square root of 332 as the square root of (2 * 2 * 83).
Taking the square root of each factor, we get:
√(2 * 2 * 83) = 2√83
Therefore, the simplified radical form of √332 is 2√83.
Substituting this value back into the perimeter equation, we have:
Perimeter = 4 * (2√83) = 8√83
So, the perimeter of the square with a side length of √332 in simplest radical form is 8√83.
To find the perimeter of a square, you simply multiply the length of one side by 4.
Given that the side length of the square is √332, we can substitute this value into the formula to find the perimeter.
Perimeter = 4 * √332
To simplify the radical, we can calculate the square root of 332.
√332 = √(2 * 2 * 83) (Factoring 332 into its prime factors)
Taking the square root of each factor, we have:
√332 = √2 * √2 * √83
Simplifying the square root of each factor, we get:
√332 = 2√83
Now we can substitute this simplified value back into the original formula:
Perimeter = 4 * 2√83
Perimeter = 8√83
Therefore, the perimeter of the square with a side length of √332 is 8√83.