Question

$$\sqrt{ 32 } - \sqrt{ 50 } + \sqrt{ 72 } - \sqrt{ 18 }$$

Answer

2*sqrt(2)

Solution


Simplify  \(\sqrt{32}\)  to  \(4\sqrt{2}\).
\[4\sqrt{2}-\sqrt{50}+\sqrt{72}-\sqrt{18}\]
Simplify  \(\sqrt{50}\)  to  \(5\sqrt{2}\).
\[4\sqrt{2}-5\sqrt{2}+\sqrt{72}-\sqrt{18}\]
Simplify  \(\sqrt{72}\)  to  \(6\sqrt{2}\).
\[4\sqrt{2}-5\sqrt{2}+6\sqrt{2}-\sqrt{18}\]
Simplify  \(\sqrt{18}\)  to  \(3\sqrt{2}\).
\[4\sqrt{2}-5\sqrt{2}+6\sqrt{2}-3\sqrt{2}\]
Simplify.
\[2\sqrt{2}\]

Decimal Form: 2.828427