Question

$simplify \: \sqrt{50} - \sqrt{98} - \sqrt{162} \: \: (by \: splitting \: middle \: term)$

Answer 1

$\sqrt{50} - \sqrt{98}-\sqrt{162} \\ = \sqrt{5 \times 5 \times 2} - \sqrt{7 \times 7 \times 2} - \sqrt{2 \times 9 \times 9} \\ =5 \sqrt{2} - 7 \sqrt{2} - 9 \sqrt{2} \\ = 5 \sqrt{2} - (7 + 9) \sqrt{2} \\ = 5 \sqrt{2} - 16 \sqrt{2} \\ = - 11 \sqrt{2}$