Question

√2+√18+√98+√50 como resolver certo de preferência

Answer 1

18/2

9/3

3/3

1

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

98/2

49/7

7/7

1

$98 = 2 \times {7}^{2}$

50/2

25/5

5/5

1

$50 = 2 \times {5}^{2}$

$\sqrt{2} + \sqrt{18} + \sqrt{98} + \sqrt{50} =$
$\sqrt{2} + \sqrt{2 \times {3}^{2} } + \sqrt{2 \times {7}^{2} } + \sqrt{2 \times {5}^{2} } = \\ \sqrt{2} + 3 \sqrt{2} + 7 \sqrt{2} + 5 \sqrt{2} = \\ (1 + 3 + 7 + 5) \sqrt{2} = \\ 16 \sqrt{2}$