Question

$$\sqrt{ 72 } +3 \sqrt{ 32 } -14 \sqrt{ 2 }$$

Answer

4*sqrt(2)

Solution


Simplify  \(\sqrt{72}\)  to  \(6\sqrt{2}\).
\[6\sqrt{2}+3\sqrt{32}-14\sqrt{2}\]
Simplify  \(\sqrt{32}\)  to  \(4\sqrt{2}\).
\[6\sqrt{2}+3\times 4\sqrt{2}-14\sqrt{2}\]
Simplify  \(3\times 4\sqrt{2}\)  to  \(12\sqrt{2}\).
\[6\sqrt{2}+12\sqrt{2}-14\sqrt{2}\]
Simplify.
\[4\sqrt{2}\]

Decimal Form: 5.656854