1)


$\left( \sqrt{\frac{225}{729} }  - \sqrt{\frac{25}{144} } \right) + \sqrt{\frac{16}{81} }  = ?$


A) $\frac{4}{15} $

B) $\frac{5}{16} $

C) $\frac{5}{17} $

D) $\frac{7}{16} $

Answer:

Option B

Explanation:


Given exp = $\sqrt{\frac{225}{729} }  - \sqrt{\frac{25}{144} } - \sqrt{\frac{16}{81} }$
$= ( \frac{15}{27} - \frac{5}{12} ) +    \frac{4}{9}$
$= (\frac{15}{108} \times \frac{9}{4}  )$
$= \frac{5}{16}$