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sqrt(50)+sqrt(12)-4 sqrt(18)+4 sqrt(23)=?

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sqrt(50)+sqrt(12)-4 sqrt(18)+4 sqrt(23)=?

Çözüm

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Uzman doğrulaması
Usta · 5 yıl öğretmeni

Cevap

To solve the equation , we first simplify the square roots: Substituting these simplified forms into the equation, we get: Next, we group the terms with similar radicals: Factor out the common radicals: For the equation to be zero, each term must be zero. Therefore, we set each part equal to zero:1. \(\sqrt{2}(5 - 3c) = 0\)Since , we have: 2. This term is already zero, so it does not provide any new information.3. Since , we have: However, does not satisfy the first equation. Therefore, the only solution is: Thus, the value of that satisfies the equation is: