Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To find the side length of the square given that its area is [tex]\(64 n^{36}\)[/tex] square units, let's follow these steps:
1. Recall the formula for the area of a square: The area [tex]\(A\)[/tex] of a square is given by [tex]\(A = \text{side length}^2\)[/tex].
2. Express the given area in terms of the side length: Here, the area is given as [tex]\(64 n^{36}\)[/tex] square units. So, we can write:
[tex]\[ \text{side length}^2 = 64 n^{36} \][/tex]
3. Find the side length: To find the side length, we need to take the square root of both sides of the equation:
[tex]\[ \text{side length} = \sqrt{64 n^{36}} \][/tex]
4. Simplify the square root:
- The square root of [tex]\(64\)[/tex] is [tex]\(8\)[/tex], since [tex]\(8^2 = 64\)[/tex].
- The square root of [tex]\(n^{36}\)[/tex] is [tex]\(n^{18}\)[/tex], since [tex]\((n^{18})^2 = n^{36}\)[/tex].
Thus,
[tex]\[ \text{side length} = 8 n^{18} \][/tex]
Therefore, the side length of one side of the square is [tex]\(8 n^{18}\)[/tex] units. The correct choice is:
[tex]\[ 8 n^{18} \text{ units} \][/tex]
1. Recall the formula for the area of a square: The area [tex]\(A\)[/tex] of a square is given by [tex]\(A = \text{side length}^2\)[/tex].
2. Express the given area in terms of the side length: Here, the area is given as [tex]\(64 n^{36}\)[/tex] square units. So, we can write:
[tex]\[ \text{side length}^2 = 64 n^{36} \][/tex]
3. Find the side length: To find the side length, we need to take the square root of both sides of the equation:
[tex]\[ \text{side length} = \sqrt{64 n^{36}} \][/tex]
4. Simplify the square root:
- The square root of [tex]\(64\)[/tex] is [tex]\(8\)[/tex], since [tex]\(8^2 = 64\)[/tex].
- The square root of [tex]\(n^{36}\)[/tex] is [tex]\(n^{18}\)[/tex], since [tex]\((n^{18})^2 = n^{36}\)[/tex].
Thus,
[tex]\[ \text{side length} = 8 n^{18} \][/tex]
Therefore, the side length of one side of the square is [tex]\(8 n^{18}\)[/tex] units. The correct choice is:
[tex]\[ 8 n^{18} \text{ units} \][/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.