Math Problem Statement

square root of 50

Solution

The square root of 50 can be simplified as follows:

50=25×2=25×2=52\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}

The approximate decimal value is:

507.071\sqrt{50} \approx 7.071

Would you like further details on how to simplify square roots or explore more examples?

Here are 5 related questions you might find interesting:

  1. How do you simplify the square root of 18?
  2. What is the square root of 200?
  3. How do you calculate the square root of a number without a calculator?
  4. What is the relationship between square roots and exponents?
  5. How can you approximate square roots of non-perfect squares?

Tip: When simplifying square roots, look for perfect square factors within the number to break it down into smaller, more manageable parts!

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Math Problem Analysis

Mathematical Concepts

Square Roots
Simplification of Square Roots
Approximation

Formulas

\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}

Theorems

Simplification of Square Roots

Suitable Grade Level

Grades 7-9