Question

$$\sqrt{ 8 } \times \sqrt{ 98 }$$

Answer

28

Solution


Simplify  \(\sqrt{8}\)  to  \(2\sqrt{2}\).
\[2\sqrt{2}\sqrt{98}\]
Simplify  \(\sqrt{98}\)  to  \(7\sqrt{2}\).
\[2\sqrt{2}\times 7\sqrt{2}\]
Simplify.
\[2\times 7\sqrt{2\times 2}\]
Simplify  \(2\times 2\)  to  \(4\).
\[2\times 7\sqrt{4}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[2\times 7\times 2\]
Simplify  \(2\times 7\)  to  \(14\).
\[14\times 2\]
Simplify.
\[28\]