How do you simplify sqrt2(sqrt3-sqrt5)?

Apr 5, 2017

$\sqrt{6} - \sqrt{10}$

Explanation:

Multiply $\sqrt{2}$ through the brackets

$\sqrt{2} \cdot \sqrt{3} = \sqrt{6}$ and $\sqrt{2} \cdot \sqrt{5} = \sqrt{10}$**

$\left(\sqrt{2} \cdot \sqrt{3}\right) - \left(\sqrt{2} \cdot \sqrt{5}\right)$

$\sqrt{6} - \sqrt{10}$