What's $2 \sqrt{3} \times 5 \sqrt{2}$ $2sqrt3xx5sqrt2$ ?

Question

1114 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-29T04:19:50

$10 \sqrt{6}$ $10sqrt6$

We can rewrite

$2 \sqrt{3} \times 5 \sqrt{2}$ $2sqrt3xx5sqrt2$

as

$2 \times \sqrt{3} \times 5 \times \sqrt{2}$ $2xxsqrt3xx5xxsqrt2$

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

$2 \times 5 \times \sqrt{3} \times \sqrt{2}$ $2xx5xxsqrt3xxsqrt2$

I'll use brackets to group the terms:

$(2 \times 5) \times (\sqrt{3} \times \sqrt{2})$ $(2xx5)xx(sqrt3xxsqrt2)$

$(10) \times (\sqrt{3 \times 2})$ $(10)xx(sqrt(3xx2))$

$(10) \times (\sqrt{6})$ $(10)xx(sqrt6)$

$10 \sqrt{6}$ $10sqrt6$

What's 2√3×5√22sqrt3xx5sqrt2?