Evaluate:

$\sqrt{\dfrac{25}{32} \times 2\dfrac{13}{18} \times 0.25}$

$\sqrt{\dfrac{25}{32} \times 2\dfrac{13}{18} \times 0.25}\\[1em] = \sqrt{\dfrac{25}{32} \times \dfrac{49}{18} \times \dfrac{25}{100}}\\[1em] = \sqrt{\dfrac{(5\times5)\times(7\times7)\times(5\times5)}{(2\times2)\times(2\times2)\times(2\times2)\times(3\times3)\times(2\times2)\times(5\times5)}}\\[1em] = \dfrac{5\times7\times5}{2\times2\times2\times2\times3\times5}\\[1em] = \dfrac{175}{240}\\[1em] = \dfrac{35}{48}$

$\sqrt{\dfrac{25}{32} \times 2\dfrac{13}{18} \times 0.25} = \dfrac{35}{48}$