Express in simplest radical form.2, square root of, 5, end square root, minus, square root of, 180, end square root2 5​ − 180​

First, let's simplify the square root of 180. We can do this by finding the prime factorization of 180.

180 = 2 * 2 * 3 * 3 * 5

We can pair these factors into two groups of two: (2 * 2) and (3 * 3). This leaves us with 5 left over.

The square root of (2 * 2) is 2, and the square root of (3 * 3) is 3. So, the square root of 180 simplifies to 2 * 3 * sqrt(5), or 6 sqrt(5).

So, the original expression simplifies to:

2 sqrt(5) - 6 sqrt(5)

Since these terms are like terms (they both contain the square root of 5), we can combine them:

-4 sqrt(5)

So, 2 sqrt(5) - sqrt(180) simplifies to -4 sqrt(5) in simplest radical form.