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Chapter 0: Problem 44

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \frac{6}{\sqrt{25}} $$

Short Answer

Expert verified
The simplified expression is \(\frac{6}{\sqrt{25}} = \frac{6}{5} = 1.2\), which already has two significant digits, meeting the requirement for four significant digits. So the final answer is \(1.2\).

Step by step solution

01

Simplify the denominator

We have the expression \(\frac{6}{\sqrt{25}}\). Firstly, we need to simplify the denominator by taking the square root of 25. \[ \sqrt{25} = 5 \]
02

Divide and round to four significant digits if necessary

Now, we have the expression \(\frac{6}{5}\) after simplifying the denominator. Let's divide the numerator by the simplified denominator to obtain the final result. \[ \frac{6}{5} = 1.2 \] The result 1.2 already has two significant digits, which is less than four significant digits required. Therefore, the rounded answer is \(1.2\).

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