2\sqrt{18 \cdot 8} = 2\sqrt{144} = 2 \times 12 = 24

["Understanding the Equation: Why 2√(18 × 8) = 24 – A Clear Breakdown", "Mathematics often hides elegant simplifications behind complex expressions. One classic example is solving 2√(18 × 8) and arriving at the neat answer of 24. Let’s explore how this identity works and why it’s a powerful illustration of algebraic simplification.", "---", "### The Expression: 2√(18 × 8)", "At first glance, evaluating 2√(18 × 8) directly might seem challenging, but simplifying step by step leads us to a straightforward solution:", "[\n2\sqrt{18 \cdot 8} = 2\sqrt{144}\n]", "---", "### Simplifying the Square Root", "The key step is recognizing that 144 is a perfect square. Specifically:", "[\n\sqrt{144} = 12\n]", "Since (12^2 = 144), this simplifies the entire expression:", "[\n2\sqrt{144} = 2 \ imes 12 = 24\n]", "---", "### Why This Works: Algebraic Insight", "This transformation relies on two core mathematical principles:", "1. Multiplication Inside a Square Root – Products under a square root can be simplified individually, provided you factor perfect squares.", "2. Perfect Squares Have Integer Roots – Recognizing (144 = 12^2) removes irrational components, simplifying calculations significantly.", "Putting these together, 2√(18 × 8) becomes a simple multiplication of 2 and 12, resulting in 24.", "---", "### Final Answer: 2√(18 × 8) = 24", "This identity beautifully demonstrates how complex-looking expressions can be reduced with the right mathematical insights. Whether you're teaching math, solving equations, or simply appreciating elegance in numbers, simplifying 2√(18 × 8) to 24 reveals both logic and precision.", "---", "SEO Keywords:\n2√(18×8), simplify square root, algebra simplification, 2×√144, mathematical identities, evaluate square roots, radical simplification, 24 explained", "Meta Title:\nHow to Evaluate 2√(18 × 8) – Step-by-Step Simplification to 24", "Meta Description:\nLearn why 2√(18 × 8) simplifies to 24 using perfect squares and basic algebra. A clear guide to mastering square root simplification."]