Question

A) √49 + √16 =
B)³√8 - ⁴√16=
C)-5 √9 + 2√169=
D)10 ³√2 + 4 ³√2 - ³√2=
E)√18 + 2 √50=

Answer 1

Explicação passo-a-passo:

$\sqrt{49} + \sqrt{16} = 7 + 4 = 11 \\ \sqrt[3]{8} - \sqrt[4]{16} = \sqrt[3]{2 {}^{3} } - \sqrt[4]{2 {}^{4} } = 2 - 2 = 0 \\ - 5 \sqrt{9} + 2 \sqrt{169} = - 5 \times 3 + 2 \times 13 = - 15 + 26 = 11 \\ 10 \sqrt[3]{2} + 4 \sqrt[3]{2} - \sqrt[3]{2} = (10 + 4 - 1) \sqrt[3]{2} = 13 \sqrt[3]{2} \\ \sqrt{18} + 2 \sqrt{50} = 3 \sqrt{2} + 2 \times 5 \sqrt{2} = 3 \sqrt{2} + 10 \sqrt{2} = (3 + 10) \sqrt{2} = 13 \sqrt{2}$