N-RN: N-RN

N-RN

Print
N-RN.1Explain 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. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^(1/3)3 to hold, so [5^(1/3)]^3 must equal 5.N-RN.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.N-RN.3Explain why: the sum or product of two rational numbers is rational; the sum of a rational number and an irrational number is irrational; and the product of a nonzero rational number and an irrational number is irrational.
Example Problems
Evaluate:
Simplify:
Is rational or irrational?
Goblins

1-on-1 AI tutoring aligned to N-RN. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →