Question

$( \frac{7}{6 \sqrt{2} } - \frac{5}{3 \sqrt{2} } + \frac{3}{4 \sqrt{2} } ) \div \frac{3}{ \sqrt{288} }$
Dau coroana, urgent va rog! ​

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

$\it = \Big(\dfrac{^{2)}7}{\ \ 6}-\dfrac{^{4)}5}{\ \ 3}+\dfrac{^{3)}3}{\ \ 4}\Big)\cdot\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt{288}}{3}=\dfrac{14-20+9}{12}\cdot\dfrac{\sqrt{288}}{\sqrt2\cdot3}=\\\; \\ \\ =\dfrac{3}{12}\cdot\dfrac{\sqrt{144}}{3}=\dfrac{3}{12}\cdot\dfrac{12}{3}=1$