Mathematics · Number System

If 1√3 - √2 + √6 is rationalized and written in the form a√3 + b√2 + c√6 + d, where a, b, and c are the coefficients, evaluating the expression gives the simplified equivalence. Find the value of a + b + c if √3 + √2 - √623 simplifies to the coefficients component. Let us consider the direct standard expression: If 1√3 - 1√2 + 1√6 = a√3 + b√2 + c√6, then find the value of a + b + c.