What's #2sqrt3xx5sqrt2#?

1 Answer

Answer:

#10sqrt6#

Explanation:

We can rewrite

#2sqrt3xx5sqrt2#

as

#2xxsqrt3xx5xxsqrt2#

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

#2xx5xxsqrt3xxsqrt2#

I'll use brackets to group the terms:

#(2xx5)xx(sqrt3xxsqrt2)#

#(10)xx(sqrt(3xx2))#

#(10)xx(sqrt6)#

#10sqrt6#