Question

solve for t.
$t^2 - 200 = 0$
write your answer in simplified, rationalized form.
$t = \boxed{}$ or $t = \boxed{}$

Explanation:

Step1: Isolate \( t^2 \)

Add 200 to both sides: \( t^2 = 200 \)

Step2: Take square root

Take square root of both sides: \( t = \pm\sqrt{200} \)
Simplify \( \sqrt{200} = \sqrt{100\times2} = 10\sqrt{2} \)
So \( t = 10\sqrt{2} \) or \( t = -10\sqrt{2} \)

Answer:

\( t = 10\sqrt{2} \) or \( t = -10\sqrt{2} \)