# Finding The Minimum Value

Calculus Level 4

The minimum value of $$\sqrt{x^4-x^2-24x+145} + \sqrt{x^4-23x^2 - 2x+145}$$ can be expressed in the form of $$a\sqrt b$$, where $$a$$ is an integer, $$b$$ is not divisible by the square of any prime. What is the value of $$a+b$$?

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