Question

pi, 2 square root 7, square root of 7, and square root 2 (a) Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.(b) order the numbers from least to greatest please use the original symbols and radicals provided for your final answer you may use decimals or fraction as part of your work for figuring it out

Answer 1

`\begin{gathered} a)\text{ } \\ \pi\approx3.14 \\ 2\sqrt[]{7}\approx? \\ \sqrt[]{4}=2 \\ \sqrt[]{7}=? \\ \sqrt[]{9}=\text{ 3} \\ \sqrt[]{7}\approx(3+2)/(2) \\ \sqrt[]{7}\approx2.5 \\ 2\sqrt[]{7}\approx5 \\ \sqrt[]{2}\approx? \\ \sqrt[]{1}=1 \\ \sqrt[]{2}\approx? \\ \sqrt[]{4}=2 \\ \sqrt[]{2}\approx(1+2)/(2) \\ \sqrt[]{2}\approx1.5 \\ \text{Summary }\pi\approx3.14,\text{ }2\sqrt[]{7}\approx5,\text{ }\sqrt[]{7}\approx2.5,\sqrt[]{2}\approx1.5 \\ \\ b) \\ The\text{ order from }least\text{ to }greatest \\ \sqrt[]{2}\approx1.5 \\ \text{ }\sqrt[]{7}\approx2.5 \\ \text{ }\pi\approx3.14 \\ 2\sqrt[]{7}\approx5 \end{gathered}`