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Simplify negative two plus the square root of six plus eight minus the square root of six.
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Almost immediately I recognize that we’re going to need to regroup some of these addition problems.
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The associative property of addition lets us do that.
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So first, we’ll get rid of the parentheses.
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And then, we’ll use the communitive property of addition, which tells us we can move these add-ins around.
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We can say negative two plus eight plus the square root of six minus the square root of six.
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From here, we can add negative two plus eight, which equals six.
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And then we can say that the square root of six minus the square root of six will be equal to zero.
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Positive square root of six and negative square root of six cancel each other out.
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The simplified form of the expression given above is six.