Question

question 2.
$2\sqrt{x} = 12$
solve the equation above:
a. $x = 72$
b. $x = 2\sqrt{6}$
c. $x = 36$
d. $x = \sqrt{6}$

Explanation:

Step1: Isolate the square root term

Divide both sides of the equation \(2\sqrt{x} = 12\) by 2 to get \(\sqrt{x}\) by itself.
\(\frac{2\sqrt{x}}{2}=\frac{12}{2}\)
Simplifying, we have \(\sqrt{x}=6\).

Step2: Solve for \(x\)

To eliminate the square root, square both sides of the equation \(\sqrt{x}=6\).
\((\sqrt{x})^2 = 6^2\)
Simplifying both sides, we get \(x = 36\).

Answer:

C. \(x = 36\)