Math Problem Statement

Use the ALEKS calculator to approximate the square root of 194. Round your answer to the nearest hundredth.

Solution

The question asks to approximate 194\sqrt{194} and round the answer to the nearest hundredth.

Using a calculator:

19413.928\sqrt{194} \approx 13.928

When rounded to the nearest hundredth:

19413.93\sqrt{194} \approx 13.93

Let me know if you'd like further explanations or related assistance!

Here are 5 related questions to expand your understanding:

  1. How do you calculate square roots manually?
  2. Why is the square root of 194 not a whole number?
  3. What is the process to round to the nearest hundredth?
  4. How can you estimate square roots without a calculator?
  5. What is the difference between exact and approximate square root values?

Tip: Always double-check rounding by considering the digit at the thousandth place!

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Math Problem Analysis

Mathematical Concepts

Square Roots
Rounding Numbers

Formulas

√x
Rounding to the nearest hundredth

Theorems

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Suitable Grade Level

Grades 7-9