Express in simplest radical form.square root of, 8, end square root, square root of, 40, end square root8 40
Question
Express in simplest radical form.square root of, 8, end square root, square root of, 40, end square root8 40
Solution
To simplify the square roots, we first break down the numbers 8 and 40 into their prime factors.
For √8: 8 = 2 * 2 * 2 So, √8 = √(2 * 2 * 2) = √(2^2 * 2) = 2√2
For √40: 40 = 2 * 2 * 2 * 5 So, √40 = √(2 * 2 * 2 * 5) = √(2^2 * 2 * 5) = 2√(2 * 5) = 2√10
So, the simplified radical form of √8 and √40 are 2√2 and 2√10 respectively.
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