Question

rezolvati urmatorul exercitiu​

Answer 1

Explicație pas cu pas:

$\sqrt{2304} \cdot ( \sqrt{225} - \sqrt{1225}) + \sqrt{1600} = \sqrt{ {48}^{2} } \cdot ( \sqrt{ {15}^{2} } - \sqrt{ {35}^{2} }) + \sqrt{ {40}^{2} } = 48 \cdot (15 - 35) + 40 = 48 \cdot ( - 20) + 40 = - 960 + 40 = - 920$

$\sqrt{5 \cdot \sqrt{25} } + \sqrt{7 \cdot \sqrt{49} } - \sqrt{9 \cdot \sqrt{16} } = \sqrt{5 \cdot 5} + \sqrt{7 \cdot 7} - \sqrt{ {3}^{2} \cdot 4} = \sqrt{ {5}^{2} } + \sqrt{ {7}^{2} } - \sqrt{ {3}^{2} \cdot {2}^{2} } = 5 + 7 - 6 = 12 - 6 = 6$

$\sqrt{1 + 7 \cdot \sqrt{25} } - \sqrt{11 \cdot \sqrt{36} - 2} + \sqrt{23 \cdot \sqrt{9} + 3 \cdot \sqrt{16} } = \sqrt{1 + 7 \cdot 5} - \sqrt{11 \cdot 6 - 2} + \sqrt{23 \cdot 3 + 3 \cdot 4} = \sqrt{1 + 35} - \sqrt{66 - 2} + \sqrt{69 + 12} = \sqrt{36} - \sqrt{64} + \sqrt{81} = \sqrt{ {6}^{2} } - \sqrt{ {8}^{2} } + \sqrt{ {9}^{2} } = 6 - 8 + 9 = 15 - 8 = 7$

$\sqrt{ \sqrt{144} + 13} + \sqrt{3 \cdot \sqrt{324} + 7 \cdot \sqrt{225} - \sqrt{64} - 7} = \sqrt{12 + 13} + \sqrt{3 \cdot 18 + 7 \cdot 15 - 8 - 7} = \sqrt{25} + \sqrt{54 + 105 - 15} = 5 + \sqrt{144} = 5 + 12 = 17$