Subjects algebra

Square Root T

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Square Root T


1. The problem is to simplify or solve an expression where the terms $-t$ and $t$ are inside a square root. 2. Let the expression inside the root be $-t + t$ or $t - t$; inside the square root this simplifies as: $$\sqrt{-t + t} = \sqrt{0} = 0$$ 3. If the expression inside is more complex, like $\sqrt{(-t)^2 + t^2}$, then simplify as: $$\sqrt{t^2 + t^2} = \sqrt{2t^2} = |t|\sqrt{2}$$ 4. Always combine like terms inside the root carefully before simplifying. Final answer depends on the precise formula, but if $-t$ and $t$ are inside the same square root and added, they simplify to zero.