N.RN.3: Understanding the Operations Involving Rational and Irrational Numbers
Grade: Number & Qty
Domain: RN: The Real Number System
Standard Description
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.
Domain Description
The concept of rational exponents essentially comes from expanding the rules of integer exponents, creating a way to express radicals. As an instance, we establish 51/3 as the cube root of 5 to maintain equality in the equation (51/3)3 = 5.
It's possible to transcribe equations with radicals and rational exponents by utilising exponent laws.
The resultant of adding or multiplying two rational numbers is always rational; however, if a rational number is added or multiplied to an irrational number, the outcome remains irrational.