Radicals, Higher-Order Roots, and Radical Simplification

Master the structure of real numbers, one-to-one number line correspondence, arithmetic closures, and infinite decimal representations.

Simplify numerical and variable radical expressions, compute higher-order roots, and rationalize denominators.

Unify radical and exponent notation, simplify expressions using exponent laws, and solve equations with rational exponents.

Represent extreme physical scales, calculate absolute, relative, and percentage errors, and convert compound units including digital data rates.

Define the imaginary unit, represent complex numbers in standard form, and perform complex arithmetic.