Question

Упростить выражение:(3√8-9√18+0,2√50):(-2√2)​

Answer 1

$\frac{3\sqrt{8}-9\sqrt{1}\cdot \:8+0.2\sqrt{5}\cdot \:0}{-2\sqrt{2}}$

$=\frac{3\sqrt{8}-9\cdot \:1\cdot \:8+0\cdot \sqrt{5}\cdot \:0.2}{-2\sqrt{2}}$

$=\frac{3\sqrt{8}-72}{-2\sqrt{2}}$

$=\frac{72-3\sqrt{8}}{2\sqrt{2}}$

$=\frac{6\left(12-\sqrt{2}\right)}{2\sqrt{2}}$

$=\frac{3\left(12-\sqrt{2}\right)}{\sqrt{2}}$

$=\frac{3\left(12-\sqrt{2}\right)}{1.41421\dots }$

$=2.12132\dots \left(12-\sqrt{2}\right)$

$=2.12132\dots \cdot \:10.58578\dots$

$=22.45584\dots$