Question

ayuden porfa es para hoy.

se simplifica cada radical y se reducen terminos semejantes ​es para hoy :(

Answer 1

Respuesta:

$\sqrt{45} - \sqrt{20} = \sqrt{ {3}^{2} \times 5 } - \sqrt{ {2}^{2} \times 5} = 3 \sqrt{5} - 2 \sqrt{5} = (3 - 2) \sqrt{5} = \sqrt{5}$

$5 \sqrt{32} - 3 \sqrt{8} =5 \sqrt{ {2}^{5} } - 3 \sqrt{ {2}^{3} } = 5 \times {2}^{2} \times \sqrt{2} - 3 \times 2 \times \sqrt{2} = 20 \sqrt{2} - 6 \sqrt{2} = (20 - 6) \sqrt{2} = 14 \sqrt{2}$

$5 \sqrt[3]{375} - 2 \sqrt[3]{81} = 5\sqrt[3]{3 \times {5}^{3} } - 2 \sqrt[3]{ {3}^{4} } = 5 \times 5 \times \sqrt[3]{3} - 2 \times 3 \times \sqrt[3]{3} = 25 \sqrt[3]{3} -6 \sqrt[3]{3} = (25 - 6) \sqrt[3]{3} = 19 \sqrt[3]{3}$

$\sqrt[3]{16} + 3 \sqrt[3]{54} = \sqrt[3]{ {2}^{4} } + 3 \sqrt[3]{2 \times {3}^{3} } = 2 \times \sqrt[3]{2} + 3 \times 3 \times \sqrt[3]{2} = 2 \sqrt[3]{2} + 9 \sqrt[3]{2} = (2 + 9) \sqrt[3]{2} = 11 \sqrt[3]{2}$