Simplifying the square root of 72 is a fundamental skill in mathematics that often confuses students, yet it is entirely manageable once you understand the underlying mechanics of numbers. Still, mathematics provides a elegant way to express this chaotic decimal in a structured, manageable format known as the simplest radical form. When you encounter the square root of 72, you are dealing with an irrational number, meaning it cannot be expressed as a simple fraction and its decimal representation goes on forever without repeating. By the end of this guide, you will confidently know that the square root of 72 simplifies to 6 times the square root of 2, or 6√2.
To master this concept, we must explore what square roots are, what perfect squares are, and the two primary methods used to
