Question

What are the steps to solve √(0.2)^(−2)?(The answer is 5)

Answer 1

$\bf 0.\underline{2}\implies \cfrac{02}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ \left( \sqrt{0.2} \right)^{-2}\implies \left( \sqrt{\cfrac{1}{5}}\right)^{-2}\implies \left( \sqrt{\cfrac{5}{1}}\right)^{+2}\implies \cfrac{(\sqrt{5})^2}{(\sqrt{1})^2}\implies \cfrac{\sqrt{5^2}}{\sqrt{1^2}}\implies 5$