Site icon Noon Academy

Find the simplest form of

Answer:

\begin{array}{l}  \frac{{2\sqrt {45}  + 3\sqrt {20} }}{{2\sqrt 5 }} = \frac{{2\sqrt {3 \times 3 \times 5}  + 3\sqrt {2 \times 2 \times 5} }}{{2\sqrt 5 }}\\  =  > \frac{{2 \times \sqrt 5  + 3 \times 2\sqrt 5 }}{{2\sqrt 5 }}\\  =  > \frac{{6\sqrt 5  + 6\sqrt 5 }}{{2\sqrt 5 }}\\  =  > \frac{{12\sqrt 5 }}{{2\sqrt 5 }}\\  =  > 6  \end{array}

The Simplified form = 6.