Question

10 calculează următorii radicali radical 2025 bă radical 256 c radical 1024 D radical 3 la 8-a radical 5 la opta f radical 4 la șaptea G radical 9 la a treia H radical 6 la 6-a ori 3 la a doua

Answer 1

Răspuns:

$\sqrt{2025} = 45 \\ \sqrt{256} = 16 \\ \sqrt{1024} = 32 \\ \sqrt{ {3}^{8} } = \sqrt{ { ({3}^{4} })^{2} } = {3}^{4} = 81 \\ \sqrt{ {5}^{8} } = \sqrt{ { ({5}^{4} })^{2} } = {5}^{4} = 625 \\ \sqrt{ {4}^{7} } = \sqrt{ {4}^{4} \times 4^{3} } = \sqrt{ {4}^{4} } \times \sqrt{ {4}^{3} } = \sqrt{ { ({4}^{2} })^{2} } \times \sqrt{64} = {4}^{2} \times 8 = 16 \times 8 = 128 \\ \sqrt{ {9}^{3} } = \sqrt{ {9}^{2} } \times \sqrt{9} = 9 \times 3 = 27 \\ \sqrt{ {6}^{6} \times {3}^{2} } = \sqrt{ {6}^{6} } \times \sqrt{ {3}^{2} } = \sqrt{ { ({6}^{3} })^{2} } \times 3 = {6}^{3} \times 3 = 216 \times 3 = 648$