Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
In the diagram, one of the sides of the square is labeled as \( 9 \) and the diagonal is labeled as \( x \).
**Solution:**
To solve this problem, we need to recall the property of a square's diagonal.
1. Let's denote the side of the square as \( s \). For a square, all sides are equal, so each side length is \( s = 9 \).
2. The diagonal \( x \) of the square is related to the side length by the formula:
\[
x = s \sqrt{2}
\]
3. Substituting \( s = 9 \):
\[
x = 9 \sqrt{2}
\]
Thus, the length of the diagonal \( x \) in simplest radical form is \( 9\sqrt{2} \).
**Answer:**
The length of side \( x \) in simplest radical form with a rational denominator is \( 9\sqrt{2} \).
**Diagram Explanation:**
The diagram shows a square with one side labeled as 9 units. A diagonal line segment divides the square into two right triangles, creating sides of \( 9 \) units and a hypothenuse labeled as \( x \). In this setup, we used the Pythagorean theorem in combination with properties of squares to determine the length of the diagonal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16ab444c-cc67-4b2e-a5c5-3a02b2df29f8%2F409a1d68-14e3-4fc6-b798-31bb59d5426c%2Fe7cyeoi_processed.jpeg&w=3840&q=75)
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