Answer
20$\sqrt2$ - 5$\sqrt3$
Work Step by Step
3$\sqrt 8$ - $\sqrt 32$ + 3$\sqrt 72$ - $\sqrt 75$
=3$\sqrt( 2\times2\times2)$ - $\sqrt (4\times4\times2)$ + 3$\sqrt (6\times6\times2)$ - $\sqrt (5\times5\times3)$
=3$\sqrt{2^{2}\times2}$ - $\sqrt{4^{4}\times2}$ + 3$\sqrt{6^{6}\times2}$ - $\sqrt{5^{5}\times3}$
=3$\times2$$\sqrt2$ - 4$\sqrt2$ + 3$\times6$$\sqrt2$ - 5$\sqrt3$
=6$\sqrt2$ - 4$\sqrt2$ + 18$\sqrt2$ - 5$\sqrt3$
=(6-4+18)$\sqrt2$ - 5$\sqrt3$
=20$\sqrt2$ - 5$\sqrt3$
