Express in simplest radical form.square root of, 6, end square root, square root of, 18, end square root6 18
Question
Express in simplest radical form.
Solution
To simplify the square roots, we first need to break down the numbers 6 and 18 into their prime factors.
The prime factorization of 6 is 2 * 3. The prime factorization of 18 is 2 * 3 * 3.
Now, we can simplify the square roots:
√6 = √(2 * 3) = √2 * √3
√18 = √(2 * 3 * 3) = √2 * √3 * √3 = √2 * 3
So, the simplified forms are √2 * √3 for √6 and √2 * 3 for √18.
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