If g√108 = √3 ⁄ g , what is a value of g?

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First, cross multiply: g(g√108) = √3, g 2 √108 = √3. Divide both sides of the equation by √108: g 2 = √3 ⁄ √108 = √( 3 ⁄ 108 ) = √( 1 ⁄ 36 ) = 1 ⁄ 6 . Take the square root of both sides of the equation to find the value of g: g = √( 1 ⁄ 6 ) = 1 ⁄ √6 . Simplify the fraction by multiplying it by √6 ⁄ √6 : ( 1 ⁄ √6 )( √6 ⁄ √6 ) = √6 ⁄ 6 .

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