Simplify Radical Expressions

(A) Simplify numerical radical expressions involving square roots

(G) Rewrite radical expressions that contain variables to equivalent forms

(Y10A) Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264)

HSN.RN.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. 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.

HSN.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.