Question

$\sqrt{20}$$\sqrt{7}$$\sqrt{30}$$\sqrt{116}$$\sqrt{59}$approximate each square root to the nearest tenth

Answer 1

Answer: 4.47

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