
square root question
Good Day,
Just wanted to ensure i did this question correctly, the question was to write the problem below in standard form. If incorrect any help to solve this question would be appreciated.
http://img176.imagevenue.com/loc10/t...d_122_10lo.jpg
thanks in advance

Hello, netlab!
Your steps seem to be okay, but that $\displaystyle \sqrt{1}$ is unnecessary.
$\displaystyle 5\sqrt{\text{}16} \:+ \:3\sqrt{\text{}81}$
. . $\displaystyle = \;5\sqrt{(16)(\text{}1)} \:+ \:3\sqrt{(81)(\text{}1)} $
. . $\displaystyle = \;5\!\cdot\!\sqrt{16}\!\cdot\!\sqrt{\text{}1} \:+ \:3\!\cdot\!\sqrt{81}\!\cdot\!\sqrt{\text{}1} $
. . $\displaystyle = \;5\!\cdot\!4\!\cdot\!i \:+\: 3\!\cdot\!9\!\cdot\!i$
. . $\displaystyle =\;\;20i + 27i \;\;=\;\;\boxed{47i} $

Ok, thanks a lot for your help