Question

Repede, va rog mult! Îmi trebuie mâine! Răspunsul corect va primi coroana și 54 de puncte!

Answer 1

Explicație pas cu pas:

a) (5√6)(2√15):(15√5) = (10/15)(√90/√5) =(2/3)(√90/5) = (2/3)(√18) = (2/3)(√9x2) = (2/3)(3√2) = 2√2 ;

b) (3√12)(-√8):(6√6) = (-3√96)/(6√6) =(-3√16x6)/(6√6) = (-12√6)/(6√6) = -2 ;

e) (2√3)³:(√2)⁴ = (2³√3²x3)/(√(2²)² = (8x3√3)/2² = 24√3/4 = 6√3 ;

Answer 2

a)

$\it(5\sqrt6)\cdot(2\sqrt{15}):(15\sqrt5)=\dfrac{10\sqrt{90}}{15\sqrt5}=\dfrac{\ 10^{(5}}{15}\cdot\sqrt{\dfrac{90}{5}}=\dfrac{2}{3}\cdot\sqrt{18}=\dfrac{2}{3}\cdot\sqrt{9\cdot2}=\\ \\ \\ =\dfrac{2}{3}\cdot3\sqrt2=2\sqrt2$

e)

$\it (2\sqrt3)^3:(\sqrt2)^4=\dfrac{2\sqrt3\cdot2\sqrt3\cdot2\sqrt3}{\sqrt2\cdot\sqrt2\cdot\sqrt2\cdot\sqrt2}=\dfrac{8\cdot3\sqrt3}{4}=2\cdot3\sqrt3=6\sqrt3$

b)

$(3\sqrt{12})\cdot(-\sqrt8):(6\sqrt6)=-(3\sqrt{96}):(6\sqrt6)=-\dfrac{3\sqrt{96}}{6\sqrt6}=-\dfrac{\sqrt{16}}{2}=-\dfrac{4}{2}=-2$