Question

Calcule o valor da determinante:


√2 2√3

√6 5

Answer 1

Explicação passo-a-passo:

$\left[\begin{array}{ccc}\sqrt{2}&2\sqrt{3}\\\sqrt{6}&5\\\end{array}\right]$

$d=\sqrt{2}.5-\sqrt{6}.2\sqrt{3}$

$d=5\sqrt{2}-2\sqrt{18}$

$d=5\sqrt{2}-2\sqrt{2.3^{2}}$

$d=5\sqrt{2}-2.3\sqrt{2}$

$d=5\sqrt{2}-6\sqrt{2}$

$d=(5-6)\sqrt{2}$

$d=-\sqrt{2}$