The problem asks to simplify the expression $\sqrt{153} - \sqrt{68} + \sqrt{17}$ and to write the answer in surd form.

1. Problem Description

The problem asks to simplify the expression $\sqrt{153} - \sqrt{68} + \sqrt{17}$ and to write the answer in surd form.

2. Solution Steps

First, we simplify each of the square roots.

$\sqrt{153} = \sqrt{9 \times 17} = \sqrt{9} \times \sqrt{17} = 3\sqrt{17}$

$\sqrt{68} = \sqrt{4 \times 17} = \sqrt{4} \times \sqrt{17} = 2\sqrt{17}$

Now we substitute these values back into the original expression:

$\sqrt{153} - \sqrt{68} + \sqrt{17} = 3\sqrt{17} - 2\sqrt{17} + \sqrt{17}$

Next, we combine the terms:

$3\sqrt{17} - 2\sqrt{17} + \sqrt{17} = (3 - 2 + 1)\sqrt{17} = (1 + 1)\sqrt{17} = 2\sqrt{17}$

3. Final Answer

$2\sqrt{17}$