Master simplifying surds and irrational numbers with our intuitive online calculator. Easily break down complex radical expressions into their simplest forms, enhancing your understanding of algebra and number theory. Quickly get accurate results for your mathematical problems and homework.
Formula:
To simplify a surd √N (where N is a positive integer), we aim to find the largest perfect square factor P of N. The general simplification formula is: √N = √(P × Q) = √P × √Q = A√B. Here, A represents the square root of the perfect square factor (A = √P), and B is the remaining non-square factor (B = Q). For example, to simplify √48, the largest perfect square factor of 48 is 16. Therefore, √48 = √(16 × 3) = √16 × √3 = 4√3.