To simplify \( 95 \sqrt{35} \), we can follow these steps:
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Break down \( 35 \) into its prime factors: \[ 35 = 5 \times 7 \]
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Thus, \( \sqrt{35} \) cannot be simplified further because it cannot be broken down into simpler square roots. Therefore: \[ 95 \sqrt{35} = 95 \sqrt{5 \times 7} \]
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Since \( 35 \) does not have any perfect square factors other than 1, we cannot simplify \( \sqrt{35} \). Hence, \( 95 \sqrt{35} \) remains: \[ 95 \sqrt{35} \]
Thus, the exact answer for \( 95 \sqrt{35} \) is simply: \[ 95 \sqrt{35} \]