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Chapter 0: Problem 39

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{\frac{1}{4}} $$

Short Answer

Expert verified
The expression \(\sqrt{\frac{1}{4}}\) evaluates to 0.5, which is already expressed to four significant digits. Therefore, the final answer is 0.5.

Step by step solution

01

Evaluate the fraction inside the square root

First, we need to evaluate the fraction inside the square root. We have the fraction \(\frac{1}{4}\), which is equal to 0.25.
02

Evaluate the square root

Now that we know the value of the fraction, we can find the square root of 0.25. The square root of 0.25 is 0.5 because when we multiply 0.5 by itself, we get the original value 0.25.
03

Check if rounding is necessary

Next, we can check if our result needs to be rounded to four significant digits. However, the result 0.5 is already expressed to the desired level of precision, so no rounding is necessary.
04

State the final result

The result of evaluating the expression \(\sqrt{\frac{1}{4}}\) is 0.5. Since no rounding is necessary, 0.5 is the final answer.

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Most popular questions from this chapter

Giving the answer as \(a\) whole number or a fraction in lowest terms. $$ 20 /(3 * 4)-1 $$

Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(3\left(\frac{1}{9}-\left(\frac{2}{3}\right)^{2}\right)^{2}+1\)

\(\sqrt{(x+1)^{3}}+\sqrt{(x+1)^{5}}\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{4 \times 2}{\left(\frac{2}{3}\right)}\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(3-\frac{4+7}{8}\)
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