Irrational root意思

"Irrational root" is a term used in mathematics, specifically in the context of algebra and number theory. It refers to a root (solution) of an equation that is an irrational number.

In general, when we talk about the roots of an equation, we are referring to the values that make the equation true when substituted for the variable. For example, if we have the equation x^2 - 5x + 6 = 0, its roots are the values of x that satisfy this equation. In this case, the roots are 3 and 2, because when you substitute x=3 or x=2 into the equation, the equation becomes true.

An irrational number is a number that cannot be expressed as a ratio of two integers (a/b, where a and b are integers and b ≠ 0). Examples of irrational numbers include √2, π, and e.

So, an irrational root of an equation is a root that is an irrational number. For example, the equation x^2 - 2√2x + 2 = 0 has two roots: one rational (1) and one irrational (√2). The irrational root in this case is √2, because it is not the ratio of two integers.