Question

use the square root property to solve.
$3t^2=36$

choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
a. the real solution(s) is/are $t=$
(simplify your answer, including any radicals. use integers or fractions for any numbers in the expression. use a comma to separate answers as needed.)
b. there is no real solution

Explanation:

Step1: Isolate $t^2$ term

Divide both sides by 3:
$$\frac{3t^2}{3} = \frac{36}{3}$$
$$t^2 = 12$$

Step2: Apply square root property

Take square roots of both sides:
$$t = \pm\sqrt{12}$$

Step3: Simplify the radical

Simplify $\sqrt{12}$ to simplest form:
$$t = \pm\sqrt{4 \times 3} = \pm 2\sqrt{3}$$

Answer:

A. The real solution(s) is/are $t = 2\sqrt{3}, -2\sqrt{3}$