fraction multiplication with square root as the numerator [closed]

removed - unclear question....

closed as off-topic by 6005, ilovetolearn, Leucippus, Claude Leibovici, ervxAug 11 '16 at 14:51

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• Your formatting is off. In the answer, is the $10$ in the numerator or denominator? – imranfat Aug 11 '16 at 13:48
• $2\times 5 = 10$ – gammatester Aug 11 '16 at 13:49
• What author? What answer? – 6005 Aug 11 '16 at 13:49
• 10 is the denominator – ilovetolearn Aug 11 '16 at 13:49
• To make stacked fractions, use \frac, so \frac{3}{10} gives $\frac {3}{10}$. You don't need the braces for a single character. Similarly, if you put braces around the stuff that goes under the square root sign, the top bar extends to cover, so \sqrt{(3)} gives $\sqrt {(3)}$ In this case you are just multiplying $\frac 35$ by $\frac 12$ and the $\sqrt 3$ goes along for the ride. – Ross Millikan Aug 11 '16 at 13:51

$$\frac{3}{5}\cdot\frac{\sqrt{3}}{2}=\frac{3}{10}\cdot\sqrt{3}\Longleftrightarrow$$ $$\frac{3\cdot\sqrt{3}}{5\cdot2}=\frac{3}{10}\cdot\sqrt{3}\Longleftrightarrow$$ $$\frac{3\cdot\sqrt{3}}{10}=\frac{3}{10}\cdot\sqrt{3}\Longleftrightarrow$$ $$\frac{3\cdot\sqrt{3}}{10}=\frac{3\cdot\sqrt{3}}{10}$$
Because $2\cdot5=10$.