Question

introduza os fatores externos no radicando
$a)2 \sqrt{10} \: \: b) 7 \sqrt{5} \: \: c)3 \sqrt{7} \: \: d)3 \sqrt{11} \: \: f)7 \sqrt{2}$
​

Answer 1

$\Large\boxed{\begin{array}{l}\rm a)\\\sf2\sqrt{10}=\sqrt{2^2\cdot10}=\sqrt{4\cdot10}=\sqrt{40}\checkmark\\\rm b)\\\sf7\sqrt{5}=\sqrt{7^2\cdot5}=\sqrt{49\cdot5}=\sqrt{245}\checkmark\\\rm c)\\\sf 3\sqrt{7}=\sqrt{3^2\cdot7}=\sqrt{9\cdot7}=\sqrt{63}\checkmark\\\rm d)\\\sf3\sqrt{11}=\sqrt{3^2\cdot11}=\sqrt{9\cdot11}=\sqrt{99}\checkmark\\\sf f)\\\sf7\sqrt{2}=\sqrt{7^2\cdot2}=\sqrt{49\cdot2}=\sqrt{98}\checkmark\end{array}}$