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. Step 1: Understand the expressions given. The first expression is the square root of the sum of 9 and 16, written as \(\sqrt{9+16}\).
2. Step 2: The second expression is the sum of the square root of 9 and the square root of 16, written as \(\sqrt{9} + \sqrt{16}\).
3. Step 3: Simplify inside the first square root: calculate \$9 + 16\( to get \)25\(, so the first expression becomes \)\sqrt{25}$.
4. Step 4: Simplify the square roots in the second expression separately: \(\sqrt{9} = 3\) and \(\sqrt{16} = 4\), so the second expression becomes \$3 + 4$.
5. Step 5: Compare the simplified forms: \(\sqrt{25}\) and \$3 + 4\(. Since \)\sqrt{25}\( is the square root of 25 and \)3 + 4$ is 7, determine if these two values are equal or not.