Question

$$\sqrt{ 2 } \times \sqrt{ 32 }$$

Answer

8

Solution


Simplify  \(\sqrt{32}\)  to  \(4\sqrt{2}\).
\[\sqrt{2}\times 4\sqrt{2}\]
Simplify.
\[4\sqrt{2\times 2}\]
Simplify  \(2\times 2\)  to  \(4\).
\[4\sqrt{4}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[4\times 2\]
Simplify.
\[8\]