What's 2sqrt3xx5sqrt2?

$10 \sqrt{6}$

Explanation:

We can rewrite

$2 \sqrt{3} \times 5 \sqrt{2}$

as

$2 \times \sqrt{3} \times 5 \times \sqrt{2}$

We can multiply the square root terms together and the non-square root terms together:

$2 \times 5 \times \sqrt{3} \times \sqrt{2}$

I'll use brackets to group the terms:

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

$\left(10\right) \times \left(\sqrt{3 \times 2}\right)$

$\left(10\right) \times \left(\sqrt{6}\right)$

$10 \sqrt{6}$