Question
-10 squareroot 3 + squareroot 27. simplify.
Answers
GPT-4o mini
To simplify the expression \(-10\sqrt{3} + \sqrt{27}\), we first simplify \(\sqrt{27}\).
\[
\sqrt{27} = \sqrt{9 \cdot 3} = \sqrt{9} \cdot \sqrt{3} = 3\sqrt{3}
\]
Now, we can substitute \(3\sqrt{3}\) back into the expression:
\[
-10\sqrt{3} + \sqrt{27} = -10\sqrt{3} + 3\sqrt{3}
\]
Next, we combine the like terms:
\[
-10\sqrt{3} + 3\sqrt{3} = (-10 + 3)\sqrt{3} = -7\sqrt{3}
\]
Thus, the simplified expression is:
\[
\boxed{-7\sqrt{3}}
\]
\[
\sqrt{27} = \sqrt{9 \cdot 3} = \sqrt{9} \cdot \sqrt{3} = 3\sqrt{3}
\]
Now, we can substitute \(3\sqrt{3}\) back into the expression:
\[
-10\sqrt{3} + \sqrt{27} = -10\sqrt{3} + 3\sqrt{3}
\]
Next, we combine the like terms:
\[
-10\sqrt{3} + 3\sqrt{3} = (-10 + 3)\sqrt{3} = -7\sqrt{3}
\]
Thus, the simplified expression is:
\[
\boxed{-7\sqrt{3}}
\]