The sum of two positive numbers is 26 and their product is 144. The positive difference between them is:
10
Let the two positive numbers be \(a\) and \(b\) with \(a+b=26\) and \(ab=144\).
Use the identity \((a-b)^2=(a+b)^2-4ab\).
Substitute: \((a-b)^2 = 26^2 - 4\times 144 = 676 - 576 = 100\).
Therefore \(|a-b| = \sqrt{100} = 10\).
Hence, the positive difference between the two numbers is 10.
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