Question

√20-√24+√125-√54
√16+√250+√54​

Answer 1

Explicação passo-a-passo:

$= \sqrt{20} - \sqrt{24} + \sqrt{125} - \sqrt{54} \\ = \sqrt{ {2}^{2} \times 5 } - \sqrt{ {2}^{3} \times 3} + \sqrt{ {5}^{2} \times 5} - \sqrt{ {3}^{3} \times 2 } \\ = 2 \sqrt{5} - 2 \sqrt{6} + 5 \sqrt{5} - 3 \sqrt{6} \\ = 7 \sqrt{5} - 5 \sqrt{6}$

$= \sqrt{16} + \sqrt{250} + \sqrt{54} \\ = 4 + \sqrt{ {5}^{2}\times10 } + \sqrt{ {3}^{3} \times 2 } \\ = 4 + 5 \sqrt{10} + 3 \sqrt{6}$