On a sufficient condition that the square root of s is simply normal to base 2, for s not a perfect square

TL;DR

This paper provides a straightforward proof of a sufficient condition ensuring the simple normality of the square root of a non-perfect square number to base 2, building on prior research.

Contribution

It introduces a new simple proof for a sufficient condition related to the simple normality of square roots of non-perfect squares in base 2.

Findings

Proof of a sufficient condition for simple normality of √s in base 2

Extension of previous work by the author on normality

Clarification of conditions under which √s is simply normal

Abstract

A simple proof is given of a sufficient condition that the square root of s is simply normal to base 2, for s not a perfect square. This relates to previous work of the author.