Math Problem Statement

Simplify the expression \(\sqrt{\frac{1}{4}}\).

Solution

The expression in the image shows 14\sqrt{\frac{1}{4}}. To simplify this:

14=14=12.\sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2}.

So, the simplified result is 12\frac{1}{2}.

Would you like any further explanation or additional questions on this topic?

Here are some related questions:

  1. How do you simplify other square roots, such as 916\sqrt{\frac{9}{16}}?
  2. What is the principle behind simplifying square roots of fractions?
  3. How can square roots be used in real-life applications?
  4. What is the difference between rational and irrational numbers?
  5. How do square roots relate to powers and exponents?

Tip: When simplifying square roots, always look for perfect squares in the numerator and denominator to break them down easily!

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Math Problem Analysis

Mathematical Concepts

Simplifying Square Roots
Fractions
Basic Algebra

Formulas

\(\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}\)

Theorems

Square Root Property

Suitable Grade Level

Grades 6-8