Question

√550 ÷ √11= x√2
qual e o valor de x?

Answer 1

$\sqrt{550}\div \sqrt{11}=x\sqrt{2}\\\left(\sqrt{550}\right)^2\div \left(\sqrt{11}\right)^2=\left(x\sqrt{2}\right)^2\\550\div 11=x^2\cdot 2\\2x^2=550\div 11\\2x^2=50\\x^2=50\div 2\\x^2=25\\x=\pm \sqrt{25}\\\boxed{\bold{x=\pm 5}}$