Question

mă ajutați vă rog la EXE 11 plzzzzz dau coroană am nevoie rapid de rezolvare plzzz​

Answer 1

Răspuns:

a)

$3 \sqrt{18} = 3 \sqrt{2 \times {3}^{2} } = 9 \sqrt{2}$

$2 \sqrt{72} = 2 \sqrt{2 \times 36} = 12 \sqrt{2}$

$3 \sqrt{288} = 3 \sqrt{2 \times 144} = 36 \sqrt{2}$

$5 \sqrt{1152} = 5 \sqrt{2 \times 576} = 80 \sqrt{2}$

$7 \sqrt{648} = 7 \sqrt{2 \times 324} = 126 \sqrt{2}$

$9 \sqrt{2} (12 \sqrt{2} - 36 \sqrt{2} + 80 \sqrt{2} - 126 \sqrt{2} ) = 9 \sqrt{2} \times ( - 70 \sqrt{2} ) = ( - 720)$

b)

$\sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2}$

$4 \sqrt{243} = 4 \sqrt{3 \times 81} = 36 \sqrt{3}$

$2 \sqrt{2028} = 2 \sqrt{3 \times 676} = 52 \sqrt{3}$

$\sqrt{8} = \sqrt{2 \times 4} = 2 \sqrt{2}$

$7 \sqrt{432} = 7 \sqrt{3 \times 144} = 84 \sqrt{3}$

$3 \sqrt{3675} = 3 \sqrt{3 \times 1225} = 105 \sqrt{3}$

$5 \sqrt{2} (36 \sqrt{3} - 52 \sqrt{3} ) - 2 \sqrt{2} (84 \sqrt{3} - 105 \sqrt{3}) = 5 \sqrt{2} \times ( - 16 \sqrt{3}) - 2 \sqrt{2}( - 21 \sqrt{3}) =( - 80 \sqrt{6} ) - ( - 42 \sqrt{6}) = ( - 38 \sqrt{6})$