Why is the radical 2x+1 the simplest radical?

To put it simply, the essence of the simplest quadratic radical is an equation that cannot be simplified any further. √ (2x 1) is the simplest quadratic radical.

√(48 1) =√49n can be simplified to =7, but it is not.

√a is the simplest quadratic root. It cannot be assigned to square numbers such as 4, 9, .... It is said that it is not. Of course, a must be ≥ 0,

√a^3 No, because =a√a,

For algebraic expressions, if the exponent is linear, it can be simplified if it is greater than 1 or less than 1, so it is not. That is, for a quadratic radical expression, the degree of the square root of the expression is 1, and the measures of each expression have no intersection, that is, there are no common factors. Several are real numbers, and the radicand numbers are all relatively prime and of degree one.