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 $t \geq \frac{5}{2}$.