Răspuns :
Răspuns: 3√5
Explicație pas cu pas:
(3√20 - 2√45 + √405) x 0.(3) =
(3√(4x5) - 2√(9x5) + √(81x5) ) x 3/9 =
(3×2√5 - 2×3√5 + 9√5) x 1/3 =
(6√5 - 6√5 + 9√5) x 1/3 =
9√5 x 1/3 =
9√5/3 =
3√5
[tex]\it (3\sqrt{20} - 2\sqrt{45} + \sqrt{405}) \cdot 0,(3) = (3\sqrt{4\cdot5}-2\sqrt{9\cdot5}+\sqrt{81\cdot5})\cdot\dfrac{\ 3^{(3}}{9}=\\ \\ \\ =(6\sqrt5-6\sqrt5+9\sqrt5)\cdot\dfrac{1}{3}=9\sqrt5\cdot\dfrac{1}{3}=3\sqrt5[/tex]