Answer
In order to simplify this number, first look for the largest factor of 153 that is a perfect square. This number is 9. Then, multiply this number by 17 inside of the radical. Next, cancel out the power to get it out of the radical to simplify. The Math can be shown as follows:
Work Step by Step
$$\sqrt{9 \times 17} \\ \sqrt{3^2 \times 17} \\ 3\sqrt{17}$$