Question$B=(\sqrt{3+\sqrt{5}})^{2}-\sqrt{(\sqrt{5}+7)^{2}}-\sqrt{13^{2}}$

Studdy Solution
Combine the simplified terms:
The expression becomes:
$B = (3 + \sqrt{5}) - (\sqrt{5} + 7) - 13$
Simplify by combining like terms:
First, simplify $3 + \sqrt{5} - \sqrt{5}$:
$3 + \sqrt{5} - \sqrt{5} = 3$
Then, subtract the remaining terms:
$3 - 7 - 13 = 3 - 20 = -17$
Thus, the equivalent counting number for the expression is:
$\boxed{-17}$