Chapter 9: Radicals

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 x.

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

Can you solve for x?

<a class=”internal” href=”/intermediatealgebraberg/back-matter/answer-key-9-11/”>Answer Key 9.11

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