Math Problem Statement

square root of 200

Solution

The square root of 200 is approximately:

20014.142\sqrt{200} \approx 14.142

This can also be expressed in simplified radical form as:

200=100×2=102\sqrt{200} = \sqrt{100 \times 2} = 10\sqrt{2}

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Here are some related questions you might find interesting:

  1. How do you simplify square roots of large numbers?
  2. What is the square root of a negative number, and how is it represented?
  3. How do you approximate square roots by hand?
  4. What is the difference between a square root and a cube root?
  5. How can square roots be applied in real-world problems?

Tip: To simplify square roots, always factor the number into prime factors and look for perfect squares.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Radical Expressions
Approximation

Formulas

\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}
\sqrt{a} \approx x (approximation)

Theorems

Simplification of square roots
Properties of square roots

Suitable Grade Level

Grades 6-8