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Chapter 0: Problem 40

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{\frac{1}{9}} $$

Short Answer

Expert verified
The evaluated expression is \(\frac{1}{3}\). No rounding is necessary since the result is precise.

Step by step solution

01

Identify the expression

We are given the expression: $$ \sqrt{\frac{1}{9}} $$
02

Evaluate the expression

We need to find the square root of \(\frac{1}{9}\). We can rewrite this as $$ \sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} $$ Since, \(\sqrt{1}=1 \) and \( \sqrt{9}=3 \), the expression becomes $$ = \frac{1}{3} $$
03

Round the result if necessary

As our result is a precise value, there is no need to round it to four significant digits. Therefore, the final answer remains: $$ \sqrt{\frac{1}{9}} = \frac{1}{3} $$

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Most popular questions from this chapter

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(3^{2 x-1}+4^{x}-1\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{4 e^{-2 x}}{2-3 e^{-2 x}}\)

Giving the answer as \(a\) whole number or a fraction in lowest terms. $$ 3+([4-2] \cdot 9) $$

Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(121 /(1+1 / 10)^{\wedge} 2\)

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