Question

$$\sqrt{10}\times\sqrt{0.1}; \sqrt[3]{10}\times\sqrt[3]{0.1}$$

Answer

$$sqrt(10)*0.31622776601684;3^(1/10)*3^10$$

Solution


Simplify  \(\sqrt{0.1}\)  to  \(0.316228\).
\[\begin{aligned}&\sqrt{10}\times 0.316228\\&\sqrt[10]{3}\sqrt[0.1]{3}\end{aligned}\]
Simplify  \(\frac{1}{0.1}\)  to  \(10\).
\[\begin{aligned}&\sqrt{10}\times 0.316228\\&\sqrt[10]{3}\times {3}^{10}\end{aligned}\]