Question

$$7 \sqrt{ 2 } -3 \sqrt{ 8 } +4 \sqrt{ 18 }$$

Answer

13*sqrt(2)

Solution


Simplify  \(\sqrt{8}\)  to  \(2\sqrt{2}\).
\[7\sqrt{2}-3\times 2\sqrt{2}+4\sqrt{18}\]
Simplify  \(\sqrt{18}\)  to  \(3\sqrt{2}\).
\[7\sqrt{2}-3\times 2\sqrt{2}+4\times 3\sqrt{2}\]
Simplify  \(3\times 2\sqrt{2}\)  to  \(6\sqrt{2}\).
\[7\sqrt{2}-6\sqrt{2}+4\times 3\sqrt{2}\]
Simplify  \(4\times 3\sqrt{2}\)  to  \(12\sqrt{2}\).
\[7\sqrt{2}-6\sqrt{2}+12\sqrt{2}\]
Simplify.
\[13\sqrt{2}\]

Decimal Form: 18.384776