Divide 95√35√ . Provide an exact answer

1 answer

To simplify \( 95 \sqrt{35} \), we can follow these steps:

  1. Break down \( 35 \) into its prime factors: \[ 35 = 5 \times 7 \]

  2. Thus, \( \sqrt{35} \) cannot be simplified further because it cannot be broken down into simpler square roots. Therefore: \[ 95 \sqrt{35} = 95 \sqrt{5 \times 7} \]

  3. 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: \[ 95 \sqrt{35} \]