Answer:
I assume that we want to simplify:
( √5*√2)^3
Remember that:
√a*√b = √(a*b)
(a^n)^m = a^(n*m)
and:
√a = (a)^(1/2)
Then we can rewrite:
( √5*√2)^3 = (√5*2)^3 = (√10)^3
= (10^(1/2))^3 = 10^(3/2)
We could keep simplifying this if we know that:
10^3 = 1000
Then:
10^(3/2) = (10^3)^(1/2) = (1000)^(1/2) = √1000
We can not simplify this anymore.