Question

sqrt5 +2sqrt125a^3

Answer 1

Okay, so we have sqrt(5) which stays unchanged.
2*sqrt(125a^3) = 2*sqrt(125)*sqrt(a^3)
125 = 5 * 5 * 5 = 5^3
So we can remove the 5's from the radical.

This leaves us with. sqrt(5) + 2*5*sqrt(5a^3)
Now we have sqrt(5) + 10sqrt(5a^3)

Hope this helps.
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Answer 2

You can go further and simplify \[\sqrt{a^3}\] to get \[\sqrt{a^2*a}=\sqrt{a^2}\sqrt{a}=a\sqrt{a}\]


So \[10\sqrt{5a^3}=10a\sqrt{5a}\]