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

Question

Express in simplest radical form.

2, square root of, 5, end square root, minus, square root of, 180, end square root

$2 \sqrt{5} - \sqrt{180}$

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Solution

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) i

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

Question