True or False:
$\sqrt{9+16}$ and $\sqrt{9}+\sqrt{16}$ are equal.

• A. True
• B. False
• C. Cannot be determined

Answer: (B)

Verified step by step guidance

1. Identify the two expressions to compare: the square root of the sum (\(\sqrt{9 + 16}\)) and the sum of the square roots (\(\sqrt{9}\) + \(\sqrt{16}\)).
2. Calculate the value inside the first square root: 9 + 16, which simplifies to 25, so the first expression is \(\sqrt{25}\).
3. Calculate the square root of 25, which is a single value (but do not finalize the numeric result as per instructions).
4. Calculate each square root separately in the second expression: \(\sqrt{9}\) and \(\sqrt{16}\), then add these two results together.
5. Compare the two results conceptually: understand that \(\sqrt{a + b}\) is generally not equal to \(\sqrt{a}\) + \(\sqrt{b}\) unless specific conditions hold, so determine if the two expressions are equal or not.