Subjects algebra

Square Root Expression 481345

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Square Root Expression 481345


1. The problem is to simplify or understand the expression with the entire quantity $2t-5$ under the square root, which is written as $\sqrt{2t-5}$. 2. The square root function $\sqrt{x}$ means the non-negative number which, when squared, gives $x$. Here, the expression inside the root is $2t-5$. 3. Important rule: The expression inside the square root, called the radicand, must be non-negative for real numbers. So, we require $2t-5 \geq 0$. 4. Solve the inequality: $$2t-5 \geq 0$$ Add 5 to both sides: $$2t \geq 5$$ Divide both sides by 2: $$t \geq \frac{5}{2}$$ 5. This means the expression $\sqrt{2t-5}$ is defined for all real $t$ such that $t \geq 2.5$. 6. There is no further simplification unless you have a specific value for $t$ or additional context. Final answer: The expression is $\sqrt{2t-5}$ with domain $t \geq \frac{5}{2}$.