Question

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

Answer 1

Answer:

B. $2ab^5\sqrt{2ab}$

Step-by-step 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 $\sqrt{4} *\sqrt{2}$. Since the square root of 4 is 2, it can be taken out of under the radical. So, the new expression is $2\sqrt{2a^3b^11}$.

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$\sqrt{a^3} = a\sqrt{a}$. Then, do this for the other variable, $\sqrt{b^11} = b^5\sqrt{b}$. Finally, put everything for the final answer, $2ab^5\sqrt{2ab}$.