Question

4√32-5√162+3√50+√75-2√578=
Ajutatima va rog

Answer 1

$4 \sqrt{32} -5 \sqrt{162} +3 \sqrt{50} + \sqrt{75} -2 \sqrt{578} = \\ =4 \cdot 4 \sqrt{2} -5 \cdot 9 \sqrt{2} +3 \cdot 5 \sqrt{2} +5 \sqrt{3} -2 \cdot 17 \sqrt{2} = \\ =16 \sqrt{2} -45 \sqrt{2} +15 \sqrt{2} +5 \sqrt{3} -34 \sqrt{2} =-48 \sqrt{2} +5 \sqrt{3}$