Irrational numbers - practice problems

Irrational numbers are those that cannot be written in the form of a fraction, i.e. a rational number. They lie on the number line, but are not rational numbers. Typically, they are numbers with a non-periodic infinite decimal expansion. For example, Ludolf's number π=3.1415926..., Euler's number e = 2.71.... ; further roots, e.g. √2 = 1.41 ... √3 ... etc.

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 11