Question

$(\frac{9}{16} *\frac{25}{36} *\frac{64}{100} )^{\frac{1}{2} }$

Answer 1

Explicación paso a paso:

(9/16*25/36*64/100)^1/2

$\sqrt{ \frac{9}{16} \times \frac{25}{36 } \times \frac{64}{100} } = \sqrt{ \frac{14400}{57600} } = \frac{ \sqrt{14400} }{ \sqrt{57600} }$

$\frac{120}{240} = \frac{1}{2}$

Answer 2

Respuesta:

$\frac{1}{2}$

Explicación paso a paso:

$(\frac{9}{16} \times \frac{25}{36} \times \frac{64}{100} )^{\frac{1}{2} } \\ \\ = \sqrt{\frac{9}{16} \times \frac{25}{36} \times \frac{64}{100} } \\ \\ = \sqrt{ \frac{9}{16} } \times \sqrt{ \frac{25}{36} } \times \sqrt{ \frac{64}{100} } \\ \\ = \frac{ \sqrt{9} }{ \sqrt{16} } \times \frac{ \sqrt{25} }{ \sqrt{ 36}} \times \frac{ \sqrt{64} }{ \sqrt{ 100}} \\ \\ = \frac{3}{4} \times \frac{5}{6} \times \frac{8}{10} \\ \\ = \frac{3 \times 5 \times 8}{4 \times 5 \times 10} \\ \\ = \frac{120}{240} \\ \\ = \frac{1}{2}$