Express in simplest radical form.square root of, 108, end square root108
Question
Express in simplest radical form.square root of, 108, end square root108
Solution
To simplify the square root of 108, follow these steps:
- Factorize 108 into its prime factors. The prime factorization of 108 is 22333.
- Group the prime factors into pairs. In this case, we have one pair of 2s and one pair of 3s.
- For each pair of prime factors, take one number out of the square root. So, we take out one 2 and one 3.
- Multiply the numbers taken out of the square root. 2*3 = 6.
- The number left inside the square root is the number that was not part of a pair. In this case, it's 3.
- So, the simplest radical form of the square root of 108 is 6√3.
Similar Questions
Express in simplest radical form.square root of, 8, end square root, square root of, 40, end square root8 40
Express in simplest radical form.x, squared, square root of, x, to the power 9 , end square rootx 2 x 9
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
Express in simplest radical form.start fraction, square root of, 28, end square root, divided by, 10, end fraction1028
Express in simplest radical form.square root of, 7, x, to the power 9 , end square root7x 9
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.