Question

cum se rezolva: (√2+√8+√18-√50)*√50

Answer 1

$( \sqrt{2} + \sqrt{8} + \sqrt{18} - \sqrt{50} ) \times \sqrt{50} \\ ( \sqrt{2} + 2 \sqrt{2} + 3 \sqrt{2} - 5 \sqrt{2} ) \times \sqrt{50} \\ \sqrt{2} \times \sqrt{ 50 } \\ \sqrt{100} \\ 10$

Answer 2

(√2+√8+√18-√50)*√50=
(√2 + √(4×2) - √(25×2)) × √(25×2) = 
(√2 + 2√2 + 3√2 - 5√2) × 5√2 = 
√2 × 5√2 = 
5 × 2 =
 10