Math Problem Statement

√200

Solution

The square root of 200 can be simplified as follows:

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

Thus, 200=10214.14\sqrt{200} = 10\sqrt{2} \approx 14.14.

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Here are some related questions for further practice:

  1. Simplify 500\sqrt{500}.
  2. What is the square root of 72 in simplified form?
  3. Calculate 32\sqrt{32}.
  4. Find the approximate value of 150\sqrt{150}.
  5. Solve 288\sqrt{288} in its simplest radical form.

Tip: When simplifying square roots, look for perfect square factors to simplify the expression.

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Math Problem Analysis

Mathematical Concepts

Simplifying Radicals
Square Roots

Formulas

√(a * b) = √a * √b
√n ≈ decimal approximation

Theorems

Properties of Square Roots
Factorization of Perfect Squares

Suitable Grade Level

Grades 6-8