Question

Hola me ayudarian en esta tarea plis es para mañana

Answer 1

12. Reducir:
$\sqrt{ {1}^{4} + {3}^{3} + {6}^{2} } \\ \\ \sqrt{1 + 27 + 36} \\ \\ \sqrt{64} \\ \\ \boxed{8}$



13. Calcular:
$\sqrt{ \frac{ {7}^{17} }{ {7}^{15} } - \frac{ {5}^{15} }{ {5}^{13} } + \frac{ {6}^{16} }{ {6}^{16} } } \\ \\ \sqrt{ \frac{ {7}^{15} \times {7}^{2} }{ {7}^{15} } - \frac{ {5}^{13} \times {5}^{2} }{ {5}^{13} } + 1 } \\ \\ \sqrt{ {7}^{2} - {5}^{2} + 1} \\ \\ \sqrt{49 - 25 + 1} \\ \\ \sqrt{25} \\ \\ \boxed{5}$


14. Calcular el valor de:
$\sqrt{ \frac{ {3}^{33} }{ {3}^{31} } + \frac{ {4}^{44} }{ {4}^{42} } } \\ \\ \sqrt{ \frac{ {3}^{3 1 } \times {3}^{2} }{ {3}^{31} } + \frac{ {4}^{42} \times {4}^{2} }{ {4}^{42} } } \\ \\ \sqrt{ {3}^{2} + {4}^{2} } \\ \\ \sqrt{9 + 16} \\ \\ \sqrt{25} \\ \\ \boxed{ 5}$


15. Sabiendo que:
$J = \sqrt[4]{16} + \sqrt[15]{ \frac{ {3}^{27} }{ {3}^{12} } } \\ \\ J = \sqrt[4]{ {2}^{4} } + \sqrt[15]{ \frac{ {3}^{12} + {3}^{15} }{ {3}^{12} } } \\ \\ J = 2 + \sqrt[15]{ {3}^{15} } \\ \\ J = 2 + 3 \\ \\ \boxed{J = 5}$

° Hallar
$\sqrt{J - 1} \\ \\ \sqrt{5 - 1} \\ \\ \sqrt{4} \\ \\ \boxed{2}$