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: add 9 and 16 to get 25, so the first expression is \(\sqrt{25}\).
3. Calculate the square root of 25, which simplifies to 5.
4. Calculate each square root separately in the second expression: \(\sqrt{9}\) equals 3 and \(\sqrt{16}\) equals 4, then add these results to get 3 + 4.
5. Compare the two results: check if \(\sqrt{9+16}\) equals \(\sqrt{9}\) + \(\sqrt{16}\) by comparing 5 and 7, and conclude whether the statement is true or false.