Question

The number e is an irrational number approximately equal to 2.718 Between which pair or square roots does e fall? O2 and 3 O 5 and ſo O i and ſ O 10 and 11

Answer 1

Irrational numbers are numbers that cannot be written in simple fraction form. They cannot be expressed as a ratio of two integers. For example, π (Pi) is an irrational number

n = 2.718

$e\text{ }\cong n\text{ }\Rightarrow^{}\sqrt{e}\text{ }\cong\sqrt{n}$$\sqrt{e}\cong\sqrt{n}\text{ }\equiv\sqrt{2.718}\text{ = 1}.6486357997\text{ }\approx\text{ 1.65}$

e falls between the pair 0 and 2