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√(59)approximate each square root to the nearest tenth

User Dan Rubio
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1 Answer

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10 votes

Answer: 4.47


\begin{gathered} \sqrt[]{20} \\ To\text{ solve this, we n}eed\text{ to expand the above root into a p}\operatorname{erf}ect\text{ square and non - p}\operatorname{erf}ect\text{ square} \\ \text{ p}\operatorname{erf}ect\text{ square are numbers that have their squareroots as a whole number} \\ \sqrt[]{20}\text{ = }\sqrt[]{4}\text{ x }\sqrt[]{5} \\ \sqrt[]{4}\text{ = 2} \\ \sqrt[]{20}\text{ = 2}\sqrt[]{5} \\ \sqrt[]{5}\text{ = 2.24} \\ \sqrt[]{20}=\text{ 2 x 2.24} \\ \sqrt[]{20}\text{ = 4.47} \end{gathered}

User Arrowcatch
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