Question

Aplique as propriedades da radiciaçao e determine as expressões numéricas
A) a raiz 8000 elevado a 3
B) a raiz de ( 8- 5) elevado a 2
C) a raiz de 49 sobre 64 me ajudem pfv

Answer 1

$a \: )( \sqrt{8000} ) {}^{3} = ( \sqrt{8 \times 100} ) {}^{3} 10 = \\ (10 \sqrt{2 {}^{3} } ) {}^{3} = 1000 \times (2 {}^{ \frac{3}{2} } ) {}^{3} = \\ 1000 \times {2}^{ \frac{9}{2} } = 1000 \times 16 \sqrt{2} = 16000 \sqrt{2}$

$b)( \sqrt{8 - 5} ) {}^{2} =( \sqrt{3} ) {}^{2} = (3 {}^{ \frac{1}{2} } ) {}^{2} \\ = {3}^{ \frac{2}{2} } = 3$

$c) \frac{ \sqrt{49} }{64} = \frac{ \sqrt{7 \times 7} }{64} = \frac{7}{64}$