Question

Descomponha o radicando em fatores Primos e calcule o valor de cada radical A) ³√343 B) √729/64 C) √121

Answer 1

A) $\sqrt[3]{343} = \sqrt[3]{7x7x7} =7$
B) $\sqrt{\frac{729}{64} } = \sqrt{\frac{3x3x3x3x3x3}{2x2x2x2x2x2} } = \sqrt{\frac{9x9x9}{4x4x4} } = \frac{3x3x3}{2x2x2} = \frac{27}{8}$
C)$\sqrt{121} = \sqrt{11x11} = 11$