Math Problem Statement

Which number is the closest approximation to the value of sqrt 200?

Solution

The square root of 200 is approximately 14.14.

Among the options provided, 14 is the closest approximation.

Would you like more details or have any further questions? Here are 5 related questions to consider:

  1. How do we estimate square roots of non-perfect squares manually?
  2. What is the square root of other numbers close to 200, like 196 or 225?
  3. How is the square root function used in practical applications?
  4. How does the square root of 200 compare to square roots of numbers slightly larger or smaller?
  5. Why is understanding square roots important in geometry and algebra?

Tip: When approximating square roots, look for nearby perfect squares to get a rough estimate.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Approximations
Non-Perfect Squares

Formulas

√n, where n is a non-perfect square

Theorems

Properties of Square Roots

Suitable Grade Level

Grades 6-8