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If sqrta : sqrtb = sqrt3 : sqrt2 " and "...

If `sqrta : sqrtb = sqrt3 : sqrt2 " and " sqrtb : sqrtc = sqrt3 : sqrt2`, then find the value of `(sqrta + sqrtb ) : ( sqrtb + sqrtc)`.

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The correct Answer is:
`sqrt3 : sqrt2 `
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