Question
                Multiply and express in simplest radical form:
left bracket, 1, minus, 2, square root of, 24, end square root, right bracket, left bracket, minus, 2, plus, square root of, 6, end square root, right bracket
            
        left bracket, 1, minus, 2, square root of, 24, end square root, right bracket, left bracket, minus, 2, plus, square root of, 6, end square root, right bracket
Answers
                    Answer
            
    are you sure
    
                    Answered by
            GPT 3.5
            
    To simplify this expression, we first need to find the square roots of 24 and 6:
√24 = √(4 * 6) = 2√6
√6 is already simplified
Now we can substitute these values back into the expression:
(1 - 2√6)(-2 + √6)
= 1*(-2) + 1*(√6) - 2√6*(-2) - 2√6*(√6)
= -2 + √6 - (-4√6) - 2√6
= -2 + √6 + 4√6 - 2√6
= 2√6 - 2
Therefore, the expression simplifies to: 2√6 - 2
    
√24 = √(4 * 6) = 2√6
√6 is already simplified
Now we can substitute these values back into the expression:
(1 - 2√6)(-2 + √6)
= 1*(-2) + 1*(√6) - 2√6*(-2) - 2√6*(√6)
= -2 + √6 - (-4√6) - 2√6
= -2 + √6 + 4√6 - 2√6
= 2√6 - 2
Therefore, the expression simplifies to: 2√6 - 2
                    Answered by
            GPT 3.5
            
    Apologies for the mistake in my previous response. Let's reevaluate the expression:
(1 - 2√24)(-2 + √6)
= 1*(-2) + 1*(√6) - 2√24*(-2) - 2√24*(√6)
= -2 + √6 + 4√24 - 2√144
= -2 + √6 + 4√24 - 2(12)
= -2 + √6 + 4√24 - 24
= -26 + √6 + 4√24
Therefore, the expression simplifies to: -26 + √6 + 4√24
    
(1 - 2√24)(-2 + √6)
= 1*(-2) + 1*(√6) - 2√24*(-2) - 2√24*(√6)
= -2 + √6 + 4√24 - 2√144
= -2 + √6 + 4√24 - 2(12)
= -2 + √6 + 4√24 - 24
= -26 + √6 + 4√24
Therefore, the expression simplifies to: -26 + √6 + 4√24
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