Express in simplest radical form.square root of, 75, end square root75
Question
Express in simplest radical form.square root of, 75, end square root75
Solution
To simplify the square root of 75, follow these steps:
- Break down 75 into its prime factors. The prime factorization of 75 is 3 * 5 * 5.
- Group the factors into pairs. In this case, we have one pair of 5s.
- For each pair of numbers, one number can be taken out from under the square root.
- The pair of 5s becomes a single 5 outside of the square root.
- The 3 remains under the square root because it does not have a pair.
So, the square root of 75 simplifies to 5 * square root of 3, or 5√3.
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