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Chapter 0: Problem 53

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{(-2)^{2}} $$

Short Answer

Expert verified
The expression \(\sqrt{(-2)^2}\) simplifies to \(\sqrt{4}\), which is equal to \(2\). No rounding is needed since the answer is an integer.

Step by step solution

01

Evaluate the exponent

Let's first evaluate the expression inside the square root: $$ (-2)^{2} = (-2) \times (-2) = 4 $$ Now, our expression is: $$ \sqrt{4} $$
02

Evaluate the square root

Now, let's evaluate the square root of 4: $$ \sqrt{4} = 2 $$ The answer is already an integer and does not need any rounding. The final answer is: $$ \sqrt{(-2)^{2}} = 2 $$

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Most popular questions from this chapter

\(2 x^{2}-3 x-2\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{e^{2 x}+e^{-2 x}}{e^{2 x}-e^{-2 x}}\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(16 x^{2}=-24 x-9\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(2^{2 x^{2}-x+1}\)

Find all possible real solutions of each equation \(x^{3}-x^{2}-5 x+5=0\)
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