Question

rezultatul calcului 9/√96-3/√24+18/√54-60/√150

Answer 1

[tex] \frac{9}{\sqrt{96}}- \frac{93}{\sqrt{24}}+ \frac{18}{\sqrt{54}}-\frac{60}{\sqrt{150}}\\= \frac{9}{\sqrt{4^2\cdot 6}}-\frac{93}{{\sqrt{2^2\cdot 6}}}+ \frac{18}{{\sqrt{3^2\cdot 6}}}- \frac{60}{{\sqrt{5^2\cdot 6}}}\\= \frac{9}{4\cdot\sqrt{ 6}}-\frac{93}{{2\cdot\sqrt{ 6}}}+ \frac{18}{{3\cdot\sqrt{ 6}}}- \frac{60}{{5\cdot\sqrt{ 6}}}=\\ = \frac{9}{4\cdot\sqrt{ 6}}-\frac{93}{{2\cdot\sqrt{ 6}}}+ \frac{6}{{\sqrt{ 6}}}- \frac{12}{{\sqrt{ 6}}}=\\ [/tex]
[tex] = \frac{9}{4\cdot\sqrt{ 6}}-\frac{93\cdot2}{{4\cdot\sqrt{ 6}}}+ \frac{6\cdot4}{{4\cdot\sqrt{ 6}}}- \frac{12\cdot4}{{4\cdot\sqrt{ 6}}}=\\ =\frac{9-186+24-48}{4\cdot\sqrt{ 6}}=\frac{-201}{4\cdot\sqrt{ 6}}[/tex]