The Real Number System

HS.N-RN.A.1  Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.

HS.N-RN.A.2  Rewrite expressions involving radicals and rational exponents using the properties of exponents.

HS.N-RN.B.3  Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.