1,(4)√75*(-2,4√50)*(-1/26√18)




CALCULAȚI, MULȚUMESC!


1475245012618CALCULAȚI MULȚUMESC class=

Răspuns :

Explicație pas cu pas:

1,(4)=(14-1)/9=13/9

2,4=24/10=12/5

[tex]( \frac{13}{9} \sqrt{75} ) \times ( - \frac{12}{5} \sqrt{50} ) \times ( - \frac{1}{26} \sqrt{18) } = \\ ( \frac{13}{9} \times 5 \sqrt{3} ) \times ( - \frac{12}{5} \times 5 \sqrt{2} ) \times ( - \frac{1}{26} \times 3 \sqrt{2} ) = \\ ( \frac{13}{9} \times 5 \sqrt{3} ) \times ( - 12 \sqrt{2} ) \times ( - \frac{3 \sqrt{2} }{26} ) = \\ \frac{13 \times 5 \sqrt{3} }{9} \times \frac{12 \times 3 \times 2}{26} = \\ \frac{13 \times 5 \sqrt{3} }{9} \times \frac{12 \times 3}{13} = \frac{5 \sqrt{3} \times 12 }{3} = \\ 5 \sqrt{3} \times 4 = 20 \sqrt{3} [/tex]