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Simplify Constant Function

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Simplify Constant Function


1. Let's first write down the given function: $$g(t) = \sqrt{3} - t - \sqrt{2} + t$$ 2. Combine like terms. Notice that $-t$ and $+t$ cancel each other out: $$-t + t = 0$$ 3. This simplifies the function to: $$g(t) = \sqrt{3} - \sqrt{2}$$ 4. Since $\sqrt{3}$ and $\sqrt{2}$ are constants, the function $g(t)$ simplifies to a constant value: Calculating numerical values: $$\sqrt{3} \approx 1.732 \quad \text{and} \quad \sqrt{2} \approx 1.414$$ So, $$g(t) \approx 1.732 - 1.414 = 0.318$$ 5. Thus, the function $g(t)$ is a constant function equal to approximately $0.318$ for all values of $t$. **Final answer:** $$g(t) = \sqrt{3} - \sqrt{2} \approx 0.318$$