Question

Determine o valor de x na igualdade. $\sqrt{550} : \sqrt{11} = x \sqrt{2}$
Porfavor armem a conta para eu copiar a armação o resultado do livro é x=5

Answer 1

$\sqrt{550} / \sqrt{11} =X \sqrt{2} \sqrt{550} / \sqrt{11.2} = X \sqrt{550} / \sqrt{22} =X 5\sqrt{22} / \sqrt{22} =X 5=X$

Answer 2

$\frac{ \sqrt{550} }{ \sqrt{11} } \ =\ x \sqrt{2} \\\\\\ \sqrt{ \frac{550}{11} } \ =\ x \sqrt{2} \\\\\\ \sqrt{50} \ =\ x \sqrt{2} \\\\\\x\ =\ \frac{ \sqrt{50} }{ \sqrt{2} } \\\\\\x\ =\ \sqrt{ \frac{50}{2} } \\\\\\x\ =\ \sqrt{25}\\\\\\x=\boxed{\boxed{\ 5\ }}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$