Express in simplest radical form.start fraction, square root of, 28, end square root, divided by, 10, end fraction1028
Question
Express in simplest radical form.start fraction, square root of, 28, end square root, divided by, 10, end fraction1028
Solution
The given expression is √28 / 10.
Step 1: Simplify the square root in the numerator. The square root of 28 can be simplified by finding the largest perfect square that divides 28. The largest perfect square that divides 28 is 4. So, we can write √28 as √(4*7) = √4 * √7 = 2√7.
Step 2: Substitute this back into the original expression to get 2√7 / 10.
Step 3: Simplify the fraction by dividing the numerator and the denominator by the common factor, 2. This gives us √7 / 5.
So, the simplest radical form of √28 / 10 is √7 / 5.
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