Question

The area of a square is 64 n Superscript 36square units. What is the side length of one side of the square?
8 n Superscript 6 units
8 n Superscript 18 units
64 n Superscript 6 units
64 n Superscript 18 units

Answer 1

To find the side length of a square when given the area, we need to take the square root of the area.

The area of the square is given as \( 64 n^{36} \) square units. The formula for the area of a square is:

\[
\text{Area} = (\text{side length})^2
\]

To find the side length, we take the square root of the area:

\[
\text{side length} = \sqrt{64 n^{36}}
\]

Breaking this down:

1. The square root of \( 64 \) is \( 8 \).
2. The square root of \( n^{36} \) is \( n^{18} \).

Combining these results:

\[
\text{side length} = 8 n^{18} \text{ units}
\]

Therefore, the correct answer is:

**8 n Superscript 18 units**.