Question

$$\frac{ \sqrt{ 0.8 } - \sqrt{ 0.4 } }{ \sqrt{ 0.4 } - \sqrt{ 0.2 } }$$

Answer

1.4142135623731

Solution


Simplify  \(\sqrt{0.8}\)  to  \(0.894427\).
\[\frac{0.894427-\sqrt{0.4}}{\sqrt{0.4}-\sqrt{0.2}}\]
Simplify  \(\sqrt{0.4}\)  to  \(0.632456\).
\[\frac{0.894427-0.632456}{0.632456-\sqrt{0.2}}\]
Simplify  \(0.894427-0.632456\)  to  \(0.261972\).
\[\frac{0.261972}{0.632456-\sqrt{0.2}}\]
Simplify  \(\sqrt{0.2}\)  to  \(0.447214\).
\[\frac{0.261972}{0.632456-0.447214}\]
Simplify  \(0.632456-0.447214\)  to  \(0.185242\).
\[\frac{0.261972}{0.185242}\]
Simplify.
\[1.414214\]