The harmonic mean of the root of the equation (5+√2)x2−(4+√5)x+8+2√5=0 is
A
2
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B
4
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C
6
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D
8
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Solution
The correct option is D4 Let α,β be the roots of given quadratic equation. Then α+β=4+√55+√2 and αβ=8+2√55+√2 Again, H be the harmonic mean between α and β, then H=2αβα+β=16+4√54+√5=4.