Question

URGENT! DAU COROANĂ!!!! ​

Answer 1

Răspuns:

a) √3

b)  4√3 - 5√2

c) $\frac{8\sqrt{2} }{3}$

Explicație pas cu pas:

a)

$\frac{6}{\sqrt{3} } + 2\sqrt{3} - \sqrt{27}$

$= \frac{6\sqrt{3} }{3} + 2\sqrt{3} - 3\sqrt{3}$

$= 2\sqrt{3} - \sqrt{3}$

$= \sqrt{3}$

b)

$\frac{10}{\sqrt{2} } + \frac{12\sqrt{2} }{\sqrt{6} } - 2\sqrt{50}$

$= \frac{10\sqrt{2} }{2} + \frac{12\sqrt{12} }{6} - 2*5\sqrt{2}$

$= 5\sqrt{2} + 2*2\sqrt{3} - 10\sqrt{2}$

$= 4\sqrt{3} - 5\sqrt{2}$

c)

$\frac{5}{\sqrt{2} } + \frac{7}{3\sqrt{2} } - \frac{2\sqrt{3} }{\sqrt{6} }$

$= \frac{5}{\sqrt{2} } + \frac{7}{3\sqrt{2} } - \frac{2}{\sqrt{2} }$

$= \frac{5*3 + 7 - 2*3}{3\sqrt{2} } = \frac{15 + 7 - 6}{3\sqrt{2} } = \frac{16}{3\sqrt{2} } = \frac{16\sqrt{2} }{6} = \frac{8\sqrt{2} }{3}$