Question
Download Solution PDFThe mean proportional between \(8 + 4\sqrt 2 \) and \(6 - 3\sqrt 2 \) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two terms 8 + 4√2 and 6 - 3√2
Explanation:
The square root of the product of two numbers(a & b) when expressed as the means of a proportion.
For example: a/x : x/b
Calculation:
Let 'x' be the mean proportional value.
(8 + 4√2)/x : x/(6 - 3√2)
⇒ x2 = (8 + 4√2) × (6 - 3√2)
⇒ x2 = 48 - 24√2 + 24√2 - 24
⇒ x2 = 24
⇒ x = 2√6
∴ The mean proportional value is 2√6
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