Knowee
Questions
Features
Study Tools

Express in simplest radical form.start fraction, square root of, 2646, end square root, divided by, square root of, 9, end square root, end fraction9​ 2646​ ​

Question

Express in simplest radical form.start fraction, square root of, 2646, end square root, divided by, square root of, 9, end square root, end fraction9​ 2646​ ​

🧐 Not the exact question you are looking for?Go ask a question

Solution

First, let's simplify the square root of each number separately.

The square root of 2646 is not a whole number, but we can simplify it by finding the prime factorization of 2646 and pairing the factors. The prime factorization of 2646 is 2 * 3 * 3 * 3 * 7 * 7. We can pair the 3's and the 7's, so the simplified square root of 2646 is 3 * 7 * sqrt(2) = 21sqrt(2).

The square root of 9 is 3, because 3 * 3 = 9.

Now, we can divide the simplified square root of 2646 by the square root of 9:

21sqrt(2) / 3 = 7sqrt(2).

So, the simplest radical form of the given expression is 7sqrt(2).

This problem has been solved

Similar Questions

Express in simplest radical form.start fraction, square root of, 180, end square root, divided by, 6, end fraction6180​ ​

Express in simplest radical form.square root of, 108, end square root108​

Express in simplest radical form.start fraction, square root of, 160, end square root, divided by, square root of, 5, end square root, end fraction5​ 160​ ​

Express in simplest radical form.start fraction, square root of, 12, end square root, divided by, 6, end fraction612​ ​ Answer

Express in simplest radical form.start fraction, square root of, 28, end square root, divided by, 10, end fraction1028​ ​

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.