Problem 149 - College Algebra

Question

a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?

Step-by-Step Solution

Answer

After calculating, it's found that \(\sqrt{300}\) is approximately 17.32 and \(10\sqrt{3}\) is approximately 17.32 as well. So the conclusion is that \(\sqrt{300}\) is approximately equal to \(10\sqrt{3}\).

Step 1: Calculate \(\sqrt{300}\)

Input 300 into your calculator and find the square root. Round the result to two decimal places.

Step 2: Calculate \(10\sqrt{3}\)

Calculate the square root of 3 and then multiply the result by 10. Also round this result to two decimal places.

Step 3: Compare Results

Now compare the results from steps 1 and 2. See if there is any relationship or conclusion that can be drawn.