To solve the problem [tex]\(\sqrt{1089} + \sqrt{289} = ?\)[/tex], let's work through each step:
1. Find the square root of 1089:
[tex]\[
\sqrt{1089} = 33.0
\][/tex]
2. Find the square root of 289:
[tex]\[
\sqrt{289} = 17.0
\][/tex]
3. Add the two square roots together:
[tex]\[
33.0 + 17.0 = 50.0
\][/tex]
Therefore, [tex]\(\sqrt{1089} + \sqrt{289} = 50.0\)[/tex].
So, the correct answer is:
(b) 50