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Chapter 0: Problem 11

Evaluate each expression or indicate that the root is not a real number. $$\sqrt{(-13)^{2}}$$

Short Answer

Expert verified
The value of the given expression \(\sqrt{(-13)^{2}}\) is 13.

Step by step solution

01

Squaring the number

First, square the number -13. This is done by multiplying -13 by -13 which gives the result 169. So, \((-13)^{2}=169\).
02

Taking the square root

Next, take the square root of 169. The square root of a number is a value that, when multiplied by itself, gives the original number. Here, \(\sqrt{169} = 13\).
03

Evaluating the expression

Finally, replace the sum into the original expression. So, \(\sqrt{(-13)^{2}} = \sqrt{169} = 13\).

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