Questions: Add the following terms, if possible. 7 sqrt(3) + 2 sqrt(3) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 7 sqrt(3) + 2 sqrt(3) = (Type an exact answer, using radicals as needed.) B. The radicals cannot be combined.

Add the following terms, if possible. 7 sqrt(3) + 2 sqrt(3) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 7 sqrt(3) + 2 sqrt(3) = (Type an exact answer, using radicals as needed.) B. The radicals cannot be combined.
Transcript text: Add the following terms, if possible. \[ 7 \sqrt{3}+2 \sqrt{3} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $7 \sqrt{3}+2 \sqrt{3}=$ $\square$ (Type an exact answer, using radicals as needed.) B. The radicals cannot be combined.
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Solution

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Solution Steps

Step 1: Identify Like Terms

The expression given is \(7 \sqrt{3} + 2 \sqrt{3}\). Both terms contain the same radical, \(\sqrt{3}\), which means they are like terms and can be combined.

Step 2: Combine Like Terms

To combine the terms, add the coefficients of the like terms:

\[ 7 \sqrt{3} + 2 \sqrt{3} = (7 + 2) \sqrt{3} = 9 \sqrt{3} \]

Final Answer

The expression simplifies to:

\[ \boxed{9 \sqrt{3}} \]

The correct choice is A. \(7 \sqrt{3} + 2 \sqrt{3} = \boxed{9 \sqrt{3}}\).

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