Express in simplest radical form.start fraction, square root of, 160, end square root, divided by, square root of, 5, end square root, end fraction5 160
Question
Express in simplest radical form.start fraction, square root of, 160, end square root, divided by, square root of, 5, end square root, end fraction5 160
Solution
First, let's simplify the square root of 160.
The prime factorization of 160 is 22222*5.
Grouping the factors in pairs of 2 gives us (22) (2*2)*5.
This simplifies to 445 under the square root.
The square root of 44 is 4, so the square root of 160 simplifies to 4sqrt(5).
So, the original expression becomes 4*sqrt(5) / sqrt(5).
The sqrt(5) in the numerator and denominator cancel out, leaving us with the simplest radical form: 4.
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