Question

Como resolver raiz quadrada de 8 vezes raiz quadrada de 0,5 ?

Answer 1

$\sqrt{8}\cdot\sqrt{0,5}=\\\\2\sqrt{0,5}=\\\\2\sqrt{\dfrac{5}{10}}=\\\\\\2\sqrt{\dfrac{1}{2}}=\\\\\\2\cdot\dfrac{\sqrt1}{\sqrt2}=\\\\\\2\cdot\dfrac{1}{\sqrt2}=\\\\\dfrac{2}{\sqrt2}=\\\\\dfrac{2}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\\\\\dfrac{2\sqrt2}{2}=\\\\\\boxed{sqrt2}$