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(sqrt[3](4)+2 Sqrt(8))/(4 Sqrt(8)-3 Sqrt(6))

Question

(sqrt[3](4)+2 sqrt(8))/(4 sqrt(8)-3 sqrt(6))

Solution

Verificación de expertos
4.7 (387 Votos)
Victor Mestre · Tutor por 5 anos

Resposta

To simplify the expression , we can start by simplifying the numerator and denominator separately.First, let's simplify the numerator: We know that and .So, the numerator becomes: Now, let's simplify the denominator: We know that .So, the denominator becomes: Now, we can rewrite the original expression as: To simplify this expression further, we can factor out common terms in the numerator and denominator.In the numerator, we can factor out : In the denominator, we can factor out : Now, we can simplify the expression by canceling out common factors: Finally, we can simplify the expression by canceling out the common factor of in the numerator and denominator: Therefore, the simplified form of the given expression is: