Ask a New Question
Menu

Simplify the radical expression. −5+20−512 Responses −5−103 negative square root of 5 minus 10 square root of 3 5−103 square root of 5 minus 10 square root of 3 35−103 3 square root of 5 minus 10 square root of 3

1 answer

To simplify the expression \(-5 + 20 - 5 \sqrt{12}\), we can follow these steps:

  1. Combine the constant numbers: \(-5 + 20 = 15\)

  2. Simplify the square root term: \(\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}\)

So, \(5 \sqrt{12} = 5 \times 2 \sqrt{3} = 10 \sqrt{3}\).

  1. Now, substitute this back into the expression: \[ 15 - 10\sqrt{3} \]

Thus, the simplified expression becomes: \[ 15 - 10\sqrt{3} \]

Therefore, the right option for the simplified expression could be "15 - 10 square root of 3". If that option isn't listed, please provide the full list for clarification.