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Answer
The simplified form is \( 2\sqrt{3} \).
Solution
To simplify the expression -√3 + 3√3, first note that both terms are like terms (they both contain √3). You can combine them by adding the coefficients:
-√3 + 3√3 = (-1 + 3)√3 = 2√3.
Thus, the simplified form of the expression is 2√3.
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Simplify this solution Mind Expander
Let's simplify that expression! When you combine the terms, you have \( -\sqrt{3} + 3\sqrt{3} \). Think of it as having one apple taken away, then adding three apples: you end up with two apples! So, when you add the coefficients of \(\sqrt{3}\), you get \((3 - 1)\sqrt{3} = 2\sqrt{3}\). Now you have \(2\sqrt{3}\)! This is a perfectly simplified form and a great way to express the value in a concise manner. Plus, \(\sqrt{3}\) is approximately 1.732, so if you want a decimal, that would be about \(2 \times 1.732 = 3.464\).
