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
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
3 answers
are you sure
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