9.11 Radical Pattern Puzzle

The centre number of each square is found by using the order of operations applied to the numbers that surround it. The challenge is to solve for the variable [latex]x[/latex].

\[\begin{tabular}{|c|c|c|}
\hline
\begin{array}{ccc}&9^{\frac{1}{2}}& \\ &\textbf{44}& \\ 64^{\frac{1}{2}}&&16^{\frac{1}{2}}\end{array}&
\begin{array}{ccc}&81^{\frac{1}{2}}& \\ &\textbf{32}& \\ 49^{\frac{1}{2}}&&4^{\frac{1}{2}}\end{array}&
\begin{array}{ccc}&64^{\frac{1}{2}}& \\ &\textbf{75}& \\ 49^{\frac{1}{2}}&&x^{\frac{1}{2}}\end{array}\\
\hline
\end{tabular}\]

Can you solve for [latex]x[/latex]?

Answer Key 9.11

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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