The radical conjugate of this number is $5-\sqrt{3},$ so the product of the two numbers is \[(5+\sqrt3)(5-\sqrt3) = 5^2 - (\sqrt3)^2 = 25 - 3 = \boxed{22}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Compute the product of the number $5+\sqrt{3}$ and its radical conjugate.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
22
Compute the product of the number $5+\sqrt{3}$ and its radical conjugate.
test