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What is the square root of 64/81 simplified?

1 Answer

2 votes
Answer:
(8)/(9)Explanations:

The square root of 64 / 81 can be expressed mathematically as:


\sqrt[]{(64)/(81)}

Note that:


\sqrt[]{(a)/(b)}=\frac{\sqrt[]{a}}{\sqrt[]{b}}
\text{Therefore, }\sqrt[]{(64)/(81)}=\text{ }\frac{\sqrt[]{64}}{\sqrt[]{81}}

Also note that:


\begin{gathered} \sqrt[]{64}=\text{ 8 and} \\ \sqrt[]{81}=9 \end{gathered}

Therefore


\sqrt[]{(64)/(81)}=(8)/(9)

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