State, with reason which of the are surds and which are not :
`sqrt(180)`

Answer

To determine whether \(\sqrt{180}\) is a surd or not, we will simplify it and analyze the result.

### Step-by-Step Solution:

1. **Factorization of 180**:
We start by factorizing 180 into its prime factors.
\[ 180 = 18 \times 10 \]
Now, we can further factor 18 and 10:
\[ 18 = 2 \times 9 = 2 \times 3^2 \]
\[ 10 = 2 \times 5 \]
So, combining these, we have:
\[ 180 = 2 \times 3^2 \times 2 \times 5 = 2^2 \times 3^2 \times 5 \]

2. **Simplifying the Square Root**:
Now we can simplify \(\sqrt{180}\) using the prime factorization:
\[ \sqrt{180} = \sqrt{2^2 \times 3^2 \times 5} \]
We can take the square root of the perfect squares out of the radical:
\[ \sqrt{180} = \sqrt{2^2} \times \sqrt{3^2} \times \sqrt{5} = 2 \times 3 \times \sqrt{5} \]
This simplifies to:
\[ \sqrt{180} = 6\sqrt{5} \]

3. **Conclusion**:
Since \(\sqrt{5}\) is not a perfect square and cannot be simplified further, \(\sqrt{180}\) remains in the form \(6\sqrt{5}\). Therefore, \(\sqrt{180}\) is a surd.

### Final Answer:
\(\sqrt{180}\) is a surd because it cannot be simplified to a rational number.