Problem 56 - College Algebra Essentials

Question

Rewrite each expression without absolute value bars. $$|\sqrt{5}-13|$$

Step-by-Step Solution

Answer

The expression \(|\sqrt{5}-13|\) without absolute value bars is approximately 10.7639.

Step 1: Determining the outcome of the square root

First, calculate \(\sqrt{5}\). The square root of 5 is approximately 2.2361. And since it is less than 13, according to our previous analysis, the expression becomes \(13-\sqrt{5}\).

Step 2: Writing the final expression without absolute bars

Replacing \(\sqrt{5}\) with its value in the expression \(13-\sqrt{5}\), we get \(13-2.2361 = 10.7639\). Hence, the required expression without absolute value is approximately 10.7639.