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[tex] \sqrt{20} [/tex][tex] \sqrt{7} [/tex][tex] \sqrt{30} [/tex][tex] \sqrt{116} [/tex][tex] \sqrt{59} [/tex]approximate each square root to the nearest tenth

Sagot :

Answer: 4.47

[tex]\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}[/tex]

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