Question

Por favor me ajudem simplifique as expressões e calcule as somas algébrica 3/2 raiz de 90 - 1/4 raiz de 250 - 1/4 raiz de 10

Answer 1

$\dfrac{3}{2} . \sqrt{90} - \dfrac{1}{4} . \sqrt{250} - \dfrac{1}{4} . \sqrt{10} \\ \\ \\ \dfrac{3}{2} . \sqrt{2.3^2.5} - \dfrac{1}{4} . \sqrt{2.5^3} - \dfrac{1}{4} . \sqrt{10}$

$\dfrac{3}{2} . 3\sqrt{10} - \dfrac{1}{4} .5 \sqrt{10} - \dfrac{ \sqrt{10} }{4} \\ \\ \\ \dfrac{9 \sqrt{10} }{2}} - \dfrac{5 \sqrt{10} }{4} - \dfrac{ \sqrt{10} }{4} \\ \\ \\ \dfrac{9 \sqrt{10} }{2}} - \dfrac{3 \sqrt{10} }{4} \\ \\ \\ \dfrac{6 \sqrt{10} }{2}} \\ \\ \\ =\ \textgreater \ 3 \sqrt{10}$

Answer 2

Resposta: Essa é a resposta correta [ * = x]

$\frac{3}{2} \sqrt{90} - \frac{1}{4} \sqrt{250} - \frac{1}{4} \sqrt{10} \\\\\frac{3}{2} \sqrt{2*3^{2}*5 }- \frac{1}{4} \sqrt{2*5^{2}*5 } - \frac{1}{4} \sqrt{10} \\\\\frac{3}{2} 3\sqrt{10} - \frac{1}{4} 5\sqrt{10} - \frac{1}{4} \sqrt{10} \\\\\frac{9\sqrt{10} }{2} -\frac{5\sqrt{10} }{4} - \frac{1\sqrt{10} }{4} \\\\\frac{18\sqrt{10} }{4} -\frac{5\sqrt{10} }{4} - \frac{1\sqrt{10} }{4}\\\\\frac{12\sqrt{10} }{4}[\frac{12}{4} = 3]\\\\3\sqrt{10}$