Question

Halla el valor de la expresión Q.​

Answer 1

$Q = \frac{10}{ \sqrt{5} } - \frac{2 \sqrt{5} }{3} - \frac{ \sqrt{20} }{6}$

$Q = \frac{30 - 2 \sqrt{ {5}^{2} } }{3 \sqrt{5} } - \frac{ \sqrt{20} }{6}$

$Q = \frac{30 - 2 \times 5}{3 \sqrt{5} } - \frac{ \sqrt{20} }{6}$

$Q = \frac{30 - 10}{3 \sqrt{5} } - \frac{ \sqrt{20} }{6}$

$Q = \frac{20}{3 \sqrt{5} } - \frac{ \sqrt{20} }{6}$

$Q = \frac{120 -3 \sqrt{20 \times 5} }{3 \sqrt{5 } \times 6}$

$Q = \frac{120 - 3 \times \sqrt{100} }{18 \sqrt{5} }$

$Q = \frac{120 - 3 \times 10}{18 \sqrt{5} }$

$Q = \frac{120 - 30}{18 \sqrt{5} }$

$Q = \frac{90}{18 \sqrt{5} }$