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Chapter 0: Problem 56

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

Short Answer

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

Step by step solution

01

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 \(13-\sqrt{5}\).
02

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.

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