# Math Help - radical simplification

hello can someone please show how to simplify this
20√3-40
---
√2

to 20(√3-√2)

2. Originally Posted by jepal
hello can someone please show how to simplify this
20√3-40
---
√2

to 20(√3-√2)

$20\sqrt{3} - \dfrac{40}{\sqrt{2}}$
$20\sqrt{3} - \dfrac{40}{\sqrt{2}} = 20\sqrt{3} - \dfrac{40 \cdot \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}} = 20\sqrt{3} - \dfrac{40 \cdot \sqrt{2}}{2} = 20\sqrt{3} - 20 \cdot \sqrt{2}$