Question

What is 10 squared plus b squared equals 22 squared

Answer 1

I'm pretty sure you are asking for the value of b. Let's actually write it and then solve it:
$10^2 + b^2 = 22^2$

Solving for b yields:
$b = \sqrt{22^2-10^2} = \sqrt{484-100} = \sqrt{384} = 19.59$

So, b = 19.59. If you want the answer in simplified radical form, we can also do that:
$\sqrt{384} = \sqrt{16*24} = 4 \sqrt{24} = 4 \sqrt{4*6} = 8 \sqrt{6}$

So, b = 8√6 = 19.59