Utah Common Core Standards
UT.CC.EE.8. Expressions and Equations
Work with radicals and integer exponents.
EE.8.2. Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that square root of 2 is irrational.
UT.CC.NS.8. The Number System
Know that there are numbers that are not rational, and approximate them by rational numbers.
NS.8.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.