TAREA DE MATEMÁTICAS
Ejercicio A.
[tex] \frac{1}{2} \sqrt \frac{3}{4} - \frac{2}{3} \sqrt \frac{2}{9} + \sqrt \frac{3}{16} = \frac{1}{2} \frac{\sqrt{2}}{3} + \frac{\sqrt{3}}{4} \\ = \frac{1\sqrt{3}}{4}} - \frac{2\sqrt{2} }{9} + \frac{1\sqrt{3} }{4} \\ = \frac{1}{2} \sqrt{3} - \frac{2}{9} \sqrt{2}. [/tex]
Ejercicio B.
[tex] \frac{3}{4} \sqrt{ \frac{2}{27}} - \frac{1}{2} \sqrt{ \frac{8}{3}} + 2 \sqrt{ \frac{6}{81} } = \frac{3}{4} \frac{ \sqrt{2} }{ 3^{2}.3 } - \frac{1}{2}\frac{ \sqrt{ 2^{2}.2} }{ \sqrt{3} }+ 2 \frac{ \sqrt{6} }{ \sqrt{ 3^{4} } } =\frac{3}{4}\frac{ \sqrt{2} }{3 \sqrt{3}} - \frac{1}{2} \frac{2 \sqrt{2} }{ \sqrt{3} }+\frac{2\sqrt{6} }{9} \\ = \frac{1}{4} \frac{ \sqrt{2} }{ \sqrt{3} } -\frac{ \sqrt{2} }{3} +2\frac{2 \sqrt{6} }{9}= \frac{1}{4} \sqrt{ \frac{2}{3}} - \sqrt{\frac{2}{3}}+\frac{2\sqrt{6}}{9}.[/tex].
Ejercicio C.
[tex]2 a^{2} \sqrt[5]{ a^{8}} + 3 \sqrt[4]{ a^{17}} - \sqrt[5]{ a^{23}} = 2 a^{3} \sqrt[5]{ a^{5} a^{3}} + 3 \sqrt[4]{ a^{12}a^{5}} - \sqrt[5]{ a^{20} a^{3}} \\ = 2 a^{3}a^{5} \sqrt[5]{ a^{3}} + 3 a^{3}\sqrt[4]{ a^{5}} - a^{4}\sqrt[5]{ a^{3}} \\ = a^{4}\sqrt[5]{ a^{3}} + 3 a^{3}\sqrt[4]{ a^{5}}.[/tex]
Ejercicios D, E y F no se ven completos.
