add simplify by collecting like radical terms if possible assuming that all expressions under radicals represent nonnegative numbers

�ã2a+5�ã8a^3

i have the answer as (1+10a)squareroot symbol 2a is this correct?

I will assume you mean

√(2a) + 5√(8a^3)

= √(2a) + 5√( (2a)^3)
= √(2a) + 5(2a)√(2a)
= 11√(2a) or 11√2 √a

To simplify the expression 2a + √(8a^3), we need to collect like radical terms if possible.

First, let's simplify the radical term. The square root of 8a^3 can be broken down as follows:
√(8a^3) = √(4 * 2 * a^2 * a) = √4 * √(2 * a^2 * a) = 2 * a * √(2a)

Now, we can rewrite the expression as:
2a + 2a * √(2a)

Next, we can factor out a common factor of 2a:
2a(1 + √(2a))

So, the simplified expression is (1 + √(2a)) * 2a.