Solve the Square Root Equation: √x = 12

Question

x=12 \sqrt{x}=12

Video Solution

Solution Steps

00:00 Find X
00:03 Square both sides to isolate X
00:09 Square and root cancel each other out
00:17 Break down the power into multiplication and calculate
00:21 And this is the solution to the problem

Step-by-Step Solution

To solve the equation x=12 \sqrt{x} = 12 , we need to eliminate the square root by squaring both sides.

Let's follow these steps:

  • Step 1: Square both sides of the equation to remove the square root:

(x)2=122 (\sqrt{x})^2 = 12^2

  • Step 2: Simplify the squared terms:

x=144 x = 144

Therefore, the value of x x that satisfies the equation is 144 \boxed{144} .

Confirming with the choices given, the correct answer is 144, which matches choice 2.

Answer

144