Find the length of side a in simplest radical form with a rational denominator. 1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I've tried doing it different but I've only got the wrong a

The problem on the image asks: "Find the length of side \( x \) in simplest radical form with a rational denominator."

The diagram accompanying the question depicts a right triangle. The triangle has a right angle (indicated by a small square in the corner). The sides of the triangle are labeled as follows:

- One leg of the triangle is labeled \( x \).
- The other leg of the triangle is unlabeled.
- The hypotenuse is labeled as \( 1 \).

The task involves using properties of right triangles to find the length of side \( x \) in its simplest radical form, ensuring the result has a rational denominator.
Transcribed Image Text:The problem on the image asks: "Find the length of side \( x \) in simplest radical form with a rational denominator." The diagram accompanying the question depicts a right triangle. The triangle has a right angle (indicated by a small square in the corner). The sides of the triangle are labeled as follows: - One leg of the triangle is labeled \( x \). - The other leg of the triangle is unlabeled. - The hypotenuse is labeled as \( 1 \). The task involves using properties of right triangles to find the length of side \( x \) in its simplest radical form, ensuring the result has a rational denominator.
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