Irrational Numbers

Estimate the value of cube roots to the tenths place

Estimate the value of each cube root to the tenths place.

\(\sqrt[3]{397}\)

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.