Question

$$3 \sqrt{ 8 } + \sqrt{ 2 } -3 \sqrt{ 18 }$$

Answer

-2*sqrt(2)

Solution


Simplify  \(\sqrt{8}\)  to  \(2\sqrt{2}\).
\[3\times 2\sqrt{2}+\sqrt{2}-3\sqrt{18}\]
Simplify  \(\sqrt{18}\)  to  \(3\sqrt{2}\).
\[3\times 2\sqrt{2}+\sqrt{2}-3\times 3\sqrt{2}\]
Simplify  \(3\times 2\sqrt{2}\)  to  \(6\sqrt{2}\).
\[6\sqrt{2}+\sqrt{2}-3\times 3\sqrt{2}\]
Simplify  \(3\times 3\sqrt{2}\)  to  \(9\sqrt{2}\).
\[6\sqrt{2}+\sqrt{2}-9\sqrt{2}\]
Simplify.
\[-2\sqrt{2}\]

Decimal Form: -2.828427