Question

aduceti la forma cea mai simpla: -10√125+2√108+7√192-3√245=

Answer 1

-10√125 + 2√108 + 7√192 - 3√245 =

= -10√25*5 + 2√36*3 + 7√64*3 - 3√49*5 =

= -10*5√5 + 2*6√3 + 7*8√3 - 3*7√5 =

= -50√5 + 12√3 + 56√3 - 21√5 =

= -71√5 + 68√3

Answer 2

$- 10 \sqrt{125} + 2 \sqrt{108} + 7 \sqrt{192} - 3 \sqrt{245} = \\ \\ - 10 \times 5 \sqrt{5} + 2 \times 6 \sqrt{3} + 7 \times 8 \sqrt{3} - 3 \times 7 \sqrt{5} = \\ \\ - 50 \sqrt{5} + 12 \sqrt{3} + 56 \sqrt{3} - 21 \sqrt{5}) = \\ \\ ( - 50 \sqrt{5} - 21 \sqrt{5}) + (12 \sqrt{3} + 56 \sqrt{3}) = \\ \\ - 71 \sqrt{5} + 68 \sqrt{3}$