Definition:Continued Square Root

Definition

A continued square root is an expression of the form:

$a_0 \sqrt {a_1 \sqrt {a_2 \sqrt {a_3 \sqrt {\cdots} } } }$

where $\left\langle{a_n}\right\rangle$ is an arbitrary sequence of numbers.

Sources

• Feb. 1986: Walter S. Sizer: Continued Roots (Math. Mag. Vol. 49, no. 1: pp. 23 – 27)  www.jstor.org/stable/2690013