Math Problem Statement

yukarıdaki balonların içinde yazan kareköklerin kökten tam çıkar

Yukarıdaki balonların içinde yazan kareköklerin kökten tam çıkabilen sayılarını bulun.

Solution

Let’s extract and solve the square roots of the given numbers from the balloons:

  1. 64\sqrt{64}

    • 64=8\sqrt{64} = 8
  2. 361\sqrt{361}

    • 361=19\sqrt{361} = 19
  3. 625\sqrt{625}

    • 625=25\sqrt{625} = 25
  4. 900\sqrt{900}

    • 900=30\sqrt{900} = 30
  5. 3600\sqrt{3600}

    • 3600=60\sqrt{3600} = 60
  6. 256\sqrt{256}

    • 256=16\sqrt{256} = 16
  7. 2500\sqrt{2500}

    • 2500=50\sqrt{2500} = 50

These are the positive integers that are the square roots of the numbers in the balloons.

Would you like me to provide further steps or explanations for solving square roots or review the second part of the page?

Here are five related questions you might explore:

  1. How do you find square roots manually if a calculator isn't available?
  2. What are perfect squares, and how can you recognize them?
  3. What is the difference between x2\sqrt{x^2} and xx?
  4. How does prime factorization help in finding square roots?
  5. How can square roots be applied in real-world problem-solving?

Tip: Always double-check square root results by squaring them to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Perfect Squares

Formulas

√x = a, where a² = x

Theorems

Properties of Perfect Squares

Suitable Grade Level

Grade 8