Math Problem Statement

Berechne

Berechne

Solution

The mathematical expression in the image is:

510\frac{\sqrt{5}}{10}

This can be simplified, but it is already in its simplest form as a fraction. The square root of 5 is an irrational number, and dividing by 10 doesn't change that fact.

If you'd like a decimal approximation, we can calculate:

5102.23610=0.2236\frac{\sqrt{5}}{10} \approx \frac{2.236}{10} = 0.2236

Would you like further details on this, or do you have any other questions?

Here are some related questions for further practice:

  1. What is the decimal value of 2\sqrt{2} divided by 10?
  2. How would you simplify 84\frac{\sqrt{8}}{4}?
  3. How do you rationalize the denominator of 15\frac{1}{\sqrt{5}}?
  4. Can you express 126\frac{\sqrt{12}}{6} in its simplest form?
  5. How does dividing by 10 affect the value of a square root?

Tip: When simplifying square roots, check if the radicand can be factored into a perfect square for easier simplification.

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Math Problem Analysis

Mathematical Concepts

Fractions
Square Roots
Simplification

Formulas

√(5) / 10 = Approximate value of square root divided by 10

Theorems

Square root properties
Fraction simplification

Suitable Grade Level

Grades 8-10