Question

This is my question. These are the options below, does anyone know the simplest form?

Answer 1

B.
`2ab^5√(2ab)`

Explanation:

To simplify, first, simplify the integers. The integers include the number 8. To simplify 8, find out what is the largest perfect square that is a factor of 8. In this case, that is 4. Then, divide 8 by that number. This equals
`√(4) *√(2)`. Since the square root of 4 is 2, it can be taken out of under the radical. So, the new expression is
`2√(2a^3b^11)`.

Next, simplify the exponents. To simplify exponents under a radical divide the exponent by the root. For example, 3 divided by 2 is 1 with a remainder of 1. So, take the answer out from under the radical and then leave the remainder in the radical. This looks like
`√(a^3) = a√(a)`. Then, do this for the other variable,
`√(b^11) = b^5√(b)`. Finally, put everything for the final answer,
`2ab^5√(2ab)`.